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Finding the Fourth Proportional to 160,032.60, 240,135.30 and 71,299.80

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Solution

The fourth proportional to 160,032.60, 240,135.30 and 71,299.80 is: 106,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,032.60 : 240,135.30 = 71,299.80 : x
  2. Step 2: Convert to fraction form
    160,032.60/240,135.30 = 71,299.80/x
  3. Step 3: Cross multiply
    160,032.60x = 240,135.30 × 71,299.80
  4. Step 4: Simplify right side
    160,032.60x = 17,121,598,862.94
  5. Step 5: Solve for x
    x = 17,121,598,862.94/160,032.60
  6. Step 6: Final answer
    x = 106,988.19

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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.