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Finding the Fourth Proportional to 142,398.80, 213,425.40 and 63,429.20

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Solution

The fourth proportional to 142,398.80, 213,425.40 and 63,429.20 is: 95,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,398.80 : 213,425.40 = 63,429.20 : x
  2. Step 2: Convert to fraction form
    142,398.80/213,425.40 = 63,429.20/x
  3. Step 3: Cross multiply
    142,398.80x = 213,425.40 × 63,429.20
  4. Step 4: Simplify right side
    142,398.80x = 13,537,402,381.68
  5. Step 5: Solve for x
    x = 13,537,402,381.68/142,398.80
  6. Step 6: Final answer
    x = 95,066.83

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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.