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Finding the Fourth Proportional to 157,045.50, 235,643.85 and 78,166.62

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Solution

The fourth proportional to 157,045.50, 235,643.85 and 78,166.62 is: 117,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,045.50 : 235,643.85 = 78,166.62 : x
  2. Step 2: Convert to fraction form
    157,045.50/235,643.85 = 78,166.62/x
  3. Step 3: Cross multiply
    157,045.50x = 235,643.85 × 78,166.62
  4. Step 4: Simplify right side
    157,045.50x = 18,419,483,278.29
  5. Step 5: Solve for x
    x = 18,419,483,278.29/157,045.50
  6. Step 6: Final answer
    x = 117,287.56

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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.