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Finding the Fourth Proportional to 157,274.80, 235,451.40 and 138,842.80

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Solution

The fourth proportional to 157,274.80, 235,451.40 and 138,842.80 is: 207,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,274.80 : 235,451.40 = 138,842.80 : x
  2. Step 2: Convert to fraction form
    157,274.80/235,451.40 = 138,842.80/x
  3. Step 3: Cross multiply
    157,274.80x = 235,451.40 × 138,842.80
  4. Step 4: Simplify right side
    157,274.80x = 32,690,731,639.92
  5. Step 5: Solve for x
    x = 32,690,731,639.92/157,274.80
  6. Step 6: Final answer
    x = 207,857.40

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