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Finding the Fourth Proportional to 144,532.80, 216,724.51 and 63,446.64

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Solution

The fourth proportional to 144,532.80, 216,724.51 and 63,446.64 is: 95,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,532.80 : 216,724.51 = 63,446.64 : x
  2. Step 2: Convert to fraction form
    144,532.80/216,724.51 = 63,446.64/x
  3. Step 3: Cross multiply
    144,532.80x = 216,724.51 × 63,446.64
  4. Step 4: Simplify right side
    144,532.80x = 13,750,442,348.34
  5. Step 5: Solve for x
    x = 13,750,442,348.34/144,532.80
  6. Step 6: Final answer
    x = 95,137.17

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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.