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Finding the Fourth Proportional to 186,744.80, 280,117.20 and 153,939.80

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Solution

The fourth proportional to 186,744.80, 280,117.20 and 153,939.80 is: 230,909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,744.80 : 280,117.20 = 153,939.80 : x
  2. Step 2: Convert to fraction form
    186,744.80/280,117.20 = 153,939.80/x
  3. Step 3: Cross multiply
    186,744.80x = 280,117.20 × 153,939.80
  4. Step 4: Simplify right side
    186,744.80x = 43,121,185,744.56
  5. Step 5: Solve for x
    x = 43,121,185,744.56/186,744.80
  6. Step 6: Final answer
    x = 230,909.70

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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.