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Finding the Fourth Proportional to 252,911.70, 379,306.80 and 146,064.60

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Solution

The fourth proportional to 252,911.70, 379,306.80 and 146,064.60 is: 219,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,911.70 : 379,306.80 = 146,064.60 : x
  2. Step 2: Convert to fraction form
    252,911.70/379,306.80 = 146,064.60/x
  3. Step 3: Cross multiply
    252,911.70x = 379,306.80 × 146,064.60
  4. Step 4: Simplify right side
    252,911.70x = 55,403,296,019.28
  5. Step 5: Solve for x
    x = 55,403,296,019.28/252,911.70
  6. Step 6: Final answer
    x = 219,061.81

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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.