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Finding the Fourth Proportional to 252,295.32, 378,705.42 and 185,810.52

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Solution

The fourth proportional to 252,295.32, 378,705.42 and 185,810.52 is: 278,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,295.32 : 378,705.42 = 185,810.52 : x
  2. Step 2: Convert to fraction form
    252,295.32/378,705.42 = 185,810.52/x
  3. Step 3: Cross multiply
    252,295.32x = 378,705.42 × 185,810.52
  4. Step 4: Simplify right side
    252,295.32x = 70,367,451,017.02
  5. Step 5: Solve for x
    x = 70,367,451,017.02/252,295.32
  6. Step 6: Final answer
    x = 278,909.06

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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.