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Finding the Fourth Proportional to 252,152.80, 377,897.10 and 185,279.20

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Solution

The fourth proportional to 252,152.80, 377,897.10 and 185,279.20 is: 277,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,152.80 : 377,897.10 = 185,279.20 : x
  2. Step 2: Convert to fraction form
    252,152.80/377,897.10 = 185,279.20/x
  3. Step 3: Cross multiply
    252,152.80x = 377,897.10 × 185,279.20
  4. Step 4: Simplify right side
    252,152.80x = 70,016,472,370.32
  5. Step 5: Solve for x
    x = 70,016,472,370.32/252,152.80
  6. Step 6: Final answer
    x = 277,674.78

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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.