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Finding the Fourth Proportional to 142,785.60, 214,178.40 and 42,961.20

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Solution

The fourth proportional to 142,785.60, 214,178.40 and 42,961.20 is: 64,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,785.60 : 214,178.40 = 42,961.20 : x
  2. Step 2: Convert to fraction form
    142,785.60/214,178.40 = 42,961.20/x
  3. Step 3: Cross multiply
    142,785.60x = 214,178.40 × 42,961.20
  4. Step 4: Simplify right side
    142,785.60x = 9,201,361,078.08
  5. Step 5: Solve for x
    x = 9,201,361,078.08/142,785.60
  6. Step 6: Final answer
    x = 64,441.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.