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Finding the Fourth Proportional to 138,809.60, 208,165.80 and 72,227.60

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Solution

The fourth proportional to 138,809.60, 208,165.80 and 72,227.60 is: 108,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,809.60 : 208,165.80 = 72,227.60 : x
  2. Step 2: Convert to fraction form
    138,809.60/208,165.80 = 72,227.60/x
  3. Step 3: Cross multiply
    138,809.60x = 208,165.80 × 72,227.60
  4. Step 4: Simplify right side
    138,809.60x = 15,035,316,136.08
  5. Step 5: Solve for x
    x = 15,035,316,136.08/138,809.60
  6. Step 6: Final answer
    x = 108,316.11

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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.