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Finding the Fourth Proportional to 144,409.52, 216,534.98 and 44,542

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Solution

The fourth proportional to 144,409.52, 216,534.98 and 44,542 is: 66,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,409.52 : 216,534.98 = 44,542 : x
  2. Step 2: Convert to fraction form
    144,409.52/216,534.98 = 44,542/x
  3. Step 3: Cross multiply
    144,409.52x = 216,534.98 × 44,542
  4. Step 4: Simplify right side
    144,409.52x = 9,644,901,079.16
  5. Step 5: Solve for x
    x = 9,644,901,079.16/144,409.52
  6. Step 6: Final answer
    x = 66,788.54

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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.