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Finding the Fourth Proportional to 157,082.90, 235,613.55 and 50,465.30

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Solution

The fourth proportional to 157,082.90, 235,613.55 and 50,465.30 is: 75,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,082.90 : 235,613.55 = 50,465.30 : x
  2. Step 2: Convert to fraction form
    157,082.90/235,613.55 = 50,465.30/x
  3. Step 3: Cross multiply
    157,082.90x = 235,613.55 × 50,465.30
  4. Step 4: Simplify right side
    157,082.90x = 11,890,308,484.82
  5. Step 5: Solve for x
    x = 11,890,308,484.82/157,082.90
  6. Step 6: Final answer
    x = 75,694.48

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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.