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Finding the Fourth Proportional to 143,057.60, 214,432.80 and 54,276.80

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Solution

The fourth proportional to 143,057.60, 214,432.80 and 54,276.80 is: 81,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,057.60 : 214,432.80 = 54,276.80 : x
  2. Step 2: Convert to fraction form
    143,057.60/214,432.80 = 54,276.80/x
  3. Step 3: Cross multiply
    143,057.60x = 214,432.80 × 54,276.80
  4. Step 4: Simplify right side
    143,057.60x = 11,638,726,199.04
  5. Step 5: Solve for x
    x = 11,638,726,199.04/143,057.60
  6. Step 6: Final answer
    x = 81,356.92

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Why These Related Problems?

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