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Finding the Fourth Proportional to 157,278.30, 235,456.65 and 138,846.30

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Solution

The fourth proportional to 157,278.30, 235,456.65 and 138,846.30 is: 207,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,278.30 : 235,456.65 = 138,846.30 : x
  2. Step 2: Convert to fraction form
    157,278.30/235,456.65 = 138,846.30/x
  3. Step 3: Cross multiply
    157,278.30x = 235,456.65 × 138,846.30
  4. Step 4: Simplify right side
    157,278.30x = 32,692,284,662.90
  5. Step 5: Solve for x
    x = 32,692,284,662.90/157,278.30
  6. Step 6: Final answer
    x = 207,862.65

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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.