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Finding the Fourth Proportional to 305,780.80, 458,671.20 and 81,140.80

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Solution

The fourth proportional to 305,780.80, 458,671.20 and 81,140.80 is: 121,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,780.80 : 458,671.20 = 81,140.80 : x
  2. Step 2: Convert to fraction form
    305,780.80/458,671.20 = 81,140.80/x
  3. Step 3: Cross multiply
    305,780.80x = 458,671.20 × 81,140.80
  4. Step 4: Simplify right side
    305,780.80x = 37,216,948,104.96
  5. Step 5: Solve for x
    x = 37,216,948,104.96/305,780.80
  6. Step 6: Final answer
    x = 121,711.20

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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.