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Finding the Fourth Proportional to 137,114.70, 205,686.45 and 43,598.70

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Solution

The fourth proportional to 137,114.70, 205,686.45 and 43,598.70 is: 65,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,114.70 : 205,686.45 = 43,598.70 : x
  2. Step 2: Convert to fraction form
    137,114.70/205,686.45 = 43,598.70/x
  3. Step 3: Cross multiply
    137,114.70x = 205,686.45 × 43,598.70
  4. Step 4: Simplify right side
    137,114.70x = 8,967,661,827.62
  5. Step 5: Solve for x
    x = 8,967,661,827.62/137,114.70
  6. Step 6: Final answer
    x = 65,402.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.