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Finding the Fourth Proportional to 159,861.80, 239,792.64 and 47,541.56

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Solution

The fourth proportional to 159,861.80, 239,792.64 and 47,541.56 is: 71,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,861.80 : 239,792.64 = 47,541.56 : x
  2. Step 2: Convert to fraction form
    159,861.80/239,792.64 = 47,541.56/x
  3. Step 3: Cross multiply
    159,861.80x = 239,792.64 × 47,541.56
  4. Step 4: Simplify right side
    159,861.80x = 11,400,116,182.12
  5. Step 5: Solve for x
    x = 11,400,116,182.12/159,861.80
  6. Step 6: Final answer
    x = 71,312.32

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Why These Related Problems?

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