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Finding the Fourth Proportional to 142,170.90, 213,197.06 and 57,874.10

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Solution

The fourth proportional to 142,170.90, 213,197.06 and 57,874.10 is: 86,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,170.90 : 213,197.06 = 57,874.10 : x
  2. Step 2: Convert to fraction form
    142,170.90/213,197.06 = 57,874.10/x
  3. Step 3: Cross multiply
    142,170.90x = 213,197.06 × 57,874.10
  4. Step 4: Simplify right side
    142,170.90x = 12,338,587,048.85
  5. Step 5: Solve for x
    x = 12,338,587,048.85/142,170.90
  6. Step 6: Final answer
    x = 86,787.01

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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.