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Finding the Fourth Proportional to 138,314.52, 207,646.74 and 117,669.24

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Solution

The fourth proportional to 138,314.52, 207,646.74 and 117,669.24 is: 176,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,314.52 : 207,646.74 = 117,669.24 : x
  2. Step 2: Convert to fraction form
    138,314.52/207,646.74 = 117,669.24/x
  3. Step 3: Cross multiply
    138,314.52x = 207,646.74 × 117,669.24
  4. Step 4: Simplify right side
    138,314.52x = 24,433,634,084.28
  5. Step 5: Solve for x
    x = 24,433,634,084.28/138,314.52
  6. Step 6: Final answer
    x = 176,652.70

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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.