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Finding the Fourth Proportional to 546,107.70, 819,160.84 and 146,748.48

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Solution

The fourth proportional to 546,107.70, 819,160.84 and 146,748.48 is: 220,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,107.70 : 819,160.84 = 146,748.48 : x
  2. Step 2: Convert to fraction form
    546,107.70/819,160.84 = 146,748.48/x
  3. Step 3: Cross multiply
    546,107.70x = 819,160.84 × 146,748.48
  4. Step 4: Simplify right side
    546,107.70x = 120,210,608,145.52
  5. Step 5: Solve for x
    x = 120,210,608,145.52/546,107.70
  6. Step 6: Final answer
    x = 220,122.53

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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.