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Finding the Fourth Proportional to 138,857.60, 208,237.80 and 72,275.60

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Solution

The fourth proportional to 138,857.60, 208,237.80 and 72,275.60 is: 108,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,857.60 : 208,237.80 = 72,275.60 : x
  2. Step 2: Convert to fraction form
    138,857.60/208,237.80 = 72,275.60/x
  3. Step 3: Cross multiply
    138,857.60x = 208,237.80 × 72,275.60
  4. Step 4: Simplify right side
    138,857.60x = 15,050,511,937.68
  5. Step 5: Solve for x
    x = 15,050,511,937.68/138,857.60
  6. Step 6: Final answer
    x = 108,388.10

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1.5x scale

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.