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Finding the Fourth Proportional to 142,626.80, 213,767.40 and 63,657.20

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Solution

The fourth proportional to 142,626.80, 213,767.40 and 63,657.20 is: 95,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,626.80 : 213,767.40 = 63,657.20 : x
  2. Step 2: Convert to fraction form
    142,626.80/213,767.40 = 63,657.20/x
  3. Step 3: Cross multiply
    142,626.80x = 213,767.40 × 63,657.20
  4. Step 4: Simplify right side
    142,626.80x = 13,607,834,135.28
  5. Step 5: Solve for x
    x = 13,607,834,135.28/142,626.80
  6. Step 6: Final answer
    x = 95,408.68

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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.