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Finding the Fourth Proportional to 157,047.50, 235,646.85 and 78,168.62

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Solution

The fourth proportional to 157,047.50, 235,646.85 and 78,168.62 is: 117,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,047.50 : 235,646.85 = 78,168.62 : x
  2. Step 2: Convert to fraction form
    157,047.50/235,646.85 = 78,168.62/x
  3. Step 3: Cross multiply
    157,047.50x = 235,646.85 × 78,168.62
  4. Step 4: Simplify right side
    157,047.50x = 18,420,189,071.85
  5. Step 5: Solve for x
    x = 18,420,189,071.85/157,047.50
  6. Step 6: Final answer
    x = 117,290.56

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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.