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Finding the Fourth Proportional to 252,565.50, 378,952.14 and 185,440.26

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Solution

The fourth proportional to 252,565.50, 378,952.14 and 185,440.26 is: 278,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,565.50 : 378,952.14 = 185,440.26 : x
  2. Step 2: Convert to fraction form
    252,565.50/378,952.14 = 185,440.26/x
  3. Step 3: Cross multiply
    252,565.50x = 378,952.14 × 185,440.26
  4. Step 4: Simplify right side
    252,565.50x = 70,272,983,369.16
  5. Step 5: Solve for x
    x = 70,272,983,369.16/252,565.50
  6. Step 6: Final answer
    x = 278,236.67

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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.