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Finding the Fourth Proportional to 144,170.47, 216,301.97 and 69,296.04

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Solution

The fourth proportional to 144,170.47, 216,301.97 and 69,296.04 is: 103,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,170.47 : 216,301.97 = 69,296.04 : x
  2. Step 2: Convert to fraction form
    144,170.47/216,301.97 = 69,296.04/x
  3. Step 3: Cross multiply
    144,170.47x = 216,301.97 × 69,296.04
  4. Step 4: Simplify right side
    144,170.47x = 14,988,869,618.72
  5. Step 5: Solve for x
    x = 14,988,869,618.72/144,170.47
  6. Step 6: Final answer
    x = 103,966.30

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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.