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Finding the Fourth Proportional to 546,105.70, 819,157.85 and 146,746.48

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Solution

The fourth proportional to 546,105.70, 819,157.85 and 146,746.48 is: 220,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,105.70 : 819,157.85 = 146,746.48 : x
  2. Step 2: Convert to fraction form
    546,105.70/819,157.85 = 146,746.48/x
  3. Step 3: Cross multiply
    546,105.70x = 819,157.85 × 146,746.48
  4. Step 4: Simplify right side
    546,105.70x = 120,208,526,222.35
  5. Step 5: Solve for x
    x = 120,208,526,222.35/546,105.70
  6. Step 6: Final answer
    x = 220,119.52

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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.