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Finding the Fourth Proportional to 140,876.32, 211,320.96 and 57,712

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Solution

The fourth proportional to 140,876.32, 211,320.96 and 57,712 is: 86,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,876.32 : 211,320.96 = 57,712 : x
  2. Step 2: Convert to fraction form
    140,876.32/211,320.96 = 57,712/x
  3. Step 3: Cross multiply
    140,876.32x = 211,320.96 × 57,712
  4. Step 4: Simplify right side
    140,876.32x = 12,195,755,243.52
  5. Step 5: Solve for x
    x = 12,195,755,243.52/140,876.32
  6. Step 6: Final answer
    x = 86,570.65

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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.