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Finding the Fourth Proportional to 106,805, 147,385.14 and 59,055.56

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Solution

The fourth proportional to 106,805, 147,385.14 and 59,055.56 is: 81,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,805 : 147,385.14 = 59,055.56 : x
  2. Step 2: Convert to fraction form
    106,805/147,385.14 = 59,055.56/x
  3. Step 3: Cross multiply
    106,805x = 147,385.14 × 59,055.56
  4. Step 4: Simplify right side
    106,805x = 8,703,911,978.38
  5. Step 5: Solve for x
    x = 8,703,911,978.38/106,805
  6. Step 6: Final answer
    x = 81,493.49

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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.