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Finding the Fourth Proportional to 153,851.52, 230,758.58 and 41,523.14

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Solution

The fourth proportional to 153,851.52, 230,758.58 and 41,523.14 is: 62,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,851.52 : 230,758.58 = 41,523.14 : x
  2. Step 2: Convert to fraction form
    153,851.52/230,758.58 = 41,523.14/x
  3. Step 3: Cross multiply
    153,851.52x = 230,758.58 × 41,523.14
  4. Step 4: Simplify right side
    153,851.52x = 9,581,820,823.54
  5. Step 5: Solve for x
    x = 9,581,820,823.54/153,851.52
  6. Step 6: Final answer
    x = 62,279.66

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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.