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Finding the Fourth Proportional to 142,851.70, 214,277.55 and 127,105.30

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Solution

The fourth proportional to 142,851.70, 214,277.55 and 127,105.30 is: 190,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,851.70 : 214,277.55 = 127,105.30 : x
  2. Step 2: Convert to fraction form
    142,851.70/214,277.55 = 127,105.30/x
  3. Step 3: Cross multiply
    142,851.70x = 214,277.55 × 127,105.30
  4. Step 4: Simplify right side
    142,851.70x = 27,235,812,276.02
  5. Step 5: Solve for x
    x = 27,235,812,276.02/142,851.70
  6. Step 6: Final answer
    x = 190,657.95

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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.