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Finding the Fourth Proportional to 144,050.52, 216,075.78 and 38,869.48

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Solution

The fourth proportional to 144,050.52, 216,075.78 and 38,869.48 is: 58,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,050.52 : 216,075.78 = 38,869.48 : x
  2. Step 2: Convert to fraction form
    144,050.52/216,075.78 = 38,869.48/x
  3. Step 3: Cross multiply
    144,050.52x = 216,075.78 × 38,869.48
  4. Step 4: Simplify right side
    144,050.52x = 8,398,753,209.19
  5. Step 5: Solve for x
    x = 8,398,753,209.19/144,050.52
  6. Step 6: Final answer
    x = 58,304.22

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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.