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Finding the Fourth Proportional to 546,107.54, 819,160.61 and 146,748.32

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Solution

The fourth proportional to 546,107.54, 819,160.61 and 146,748.32 is: 220,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,107.54 : 819,160.61 = 146,748.32 : x
  2. Step 2: Convert to fraction form
    546,107.54/819,160.61 = 146,748.32/x
  3. Step 3: Cross multiply
    546,107.54x = 819,160.61 × 146,748.32
  4. Step 4: Simplify right side
    546,107.54x = 120,210,444,641.84
  5. Step 5: Solve for x
    x = 120,210,444,641.84/546,107.54
  6. Step 6: Final answer
    x = 220,122.29

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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.