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Finding the Fourth Proportional to 159,417.68, 239,123.96 and 54,309.84

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Solution

The fourth proportional to 159,417.68, 239,123.96 and 54,309.84 is: 81,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,417.68 : 239,123.96 = 54,309.84 : x
  2. Step 2: Convert to fraction form
    159,417.68/239,123.96 = 54,309.84/x
  3. Step 3: Cross multiply
    159,417.68x = 239,123.96 × 54,309.84
  4. Step 4: Simplify right side
    159,417.68x = 12,986,784,007.77
  5. Step 5: Solve for x
    x = 12,986,784,007.77/159,417.68
  6. Step 6: Final answer
    x = 81,463.89

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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.