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Finding the Fourth Proportional to 142,760.40, 214,140.60 and 76,405.20

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Solution

The fourth proportional to 142,760.40, 214,140.60 and 76,405.20 is: 114,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,760.40 : 214,140.60 = 76,405.20 : x
  2. Step 2: Convert to fraction form
    142,760.40/214,140.60 = 76,405.20/x
  3. Step 3: Cross multiply
    142,760.40x = 214,140.60 × 76,405.20
  4. Step 4: Simplify right side
    142,760.40x = 16,361,455,371.12
  5. Step 5: Solve for x
    x = 16,361,455,371.12/142,760.40
  6. Step 6: Final answer
    x = 114,607.80

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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.