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Finding the Fourth Proportional to 153,550.84, 230,347.05 and 53,687.56

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Solution

The fourth proportional to 153,550.84, 230,347.05 and 53,687.56 is: 80,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,550.84 : 230,347.05 = 53,687.56 : x
  2. Step 2: Convert to fraction form
    153,550.84/230,347.05 = 53,687.56/x
  3. Step 3: Cross multiply
    153,550.84x = 230,347.05 × 53,687.56
  4. Step 4: Simplify right side
    153,550.84x = 12,366,771,067.70
  5. Step 5: Solve for x
    x = 12,366,771,067.70/153,550.84
  6. Step 6: Final answer
    x = 80,538.61

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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.