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Finding the Fourth Proportional to 142,677.90, 214,104.33 and 63,858.78

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Solution

The fourth proportional to 142,677.90, 214,104.33 and 63,858.78 is: 95,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,677.90 : 214,104.33 = 63,858.78 : x
  2. Step 2: Convert to fraction form
    142,677.90/214,104.33 = 63,858.78/x
  3. Step 3: Cross multiply
    142,677.90x = 214,104.33 × 63,858.78
  4. Step 4: Simplify right side
    142,677.90x = 13,672,441,306.52
  5. Step 5: Solve for x
    x = 13,672,441,306.52/142,677.90
  6. Step 6: Final answer
    x = 95,827.32

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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.