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Finding the Fourth Proportional to 160,513.95, 240,869.34 and 71,842.44

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Solution

The fourth proportional to 160,513.95, 240,869.34 and 71,842.44 is: 107,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,513.95 : 240,869.34 = 71,842.44 : x
  2. Step 2: Convert to fraction form
    160,513.95/240,869.34 = 71,842.44/x
  3. Step 3: Cross multiply
    160,513.95x = 240,869.34 × 71,842.44
  4. Step 4: Simplify right side
    160,513.95x = 17,304,641,106.79
  5. Step 5: Solve for x
    x = 17,304,641,106.79/160,513.95
  6. Step 6: Final answer
    x = 107,807.71

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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.