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Finding the Fourth Proportional to 272,676.50, 408,894.87 and 146,279.24

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Solution

The fourth proportional to 272,676.50, 408,894.87 and 146,279.24 is: 219,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,676.50 : 408,894.87 = 146,279.24 : x
  2. Step 2: Convert to fraction form
    272,676.50/408,894.87 = 146,279.24/x
  3. Step 3: Cross multiply
    272,676.50x = 408,894.87 × 146,279.24
  4. Step 4: Simplify right side
    272,676.50x = 59,812,830,823.50
  5. Step 5: Solve for x
    x = 59,812,830,823.50/272,676.50
  6. Step 6: Final answer
    x = 219,354.55

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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.