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Finding the Fourth Proportional to 106,784,902.39, 147,368,887 and 59,739,169.38

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Solution

The fourth proportional to 106,784,902.39, 147,368,887 and 59,739,169.38 is: 82,443,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,784,902.39 : 147,368,887 = 59,739,169.38 : x
  2. Step 2: Convert to fraction form
    106,784,902.39/147,368,887 = 59,739,169.38/x
  3. Step 3: Cross multiply
    106,784,902.39x = 147,368,887 × 59,739,169.38
  4. Step 4: Simplify right side
    106,784,902.39x = 8,803,694,901,835,080
  5. Step 5: Solve for x
    x = 8,803,694,901,835,080/106,784,902.39
  6. Step 6: Final answer
    x = 82,443,254.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.