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Finding the Fourth Proportional to 252,234.35, 377,931.14 and 177,220.20

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Solution

The fourth proportional to 252,234.35, 377,931.14 and 177,220.20 is: 265,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,234.35 : 377,931.14 = 177,220.20 : x
  2. Step 2: Convert to fraction form
    252,234.35/377,931.14 = 177,220.20/x
  3. Step 3: Cross multiply
    252,234.35x = 377,931.14 × 177,220.20
  4. Step 4: Simplify right side
    252,234.35x = 66,977,030,722.38
  5. Step 5: Solve for x
    x = 66,977,030,722.38/252,234.35
  6. Step 6: Final answer
    x = 265,534.94

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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.