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Finding the Fourth Proportional to 159,693.28, 239,561.80 and 54,484

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Solution

The fourth proportional to 159,693.28, 239,561.80 and 54,484 is: 81,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,693.28 : 239,561.80 = 54,484 : x
  2. Step 2: Convert to fraction form
    159,693.28/239,561.80 = 54,484/x
  3. Step 3: Cross multiply
    159,693.28x = 239,561.80 × 54,484
  4. Step 4: Simplify right side
    159,693.28x = 13,052,285,111.20
  5. Step 5: Solve for x
    x = 13,052,285,111.20/159,693.28
  6. Step 6: Final answer
    x = 81,733.46

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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.