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Finding the Fourth Proportional to 153,321.87, 229,966.63 and 41,013.42

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Solution

The fourth proportional to 153,321.87, 229,966.63 and 41,013.42 is: 61,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,321.87 : 229,966.63 = 41,013.42 : x
  2. Step 2: Convert to fraction form
    153,321.87/229,966.63 = 41,013.42/x
  3. Step 3: Cross multiply
    153,321.87x = 229,966.63 × 41,013.42
  4. Step 4: Simplify right side
    153,321.87x = 9,431,718,742.02
  5. Step 5: Solve for x
    x = 9,431,718,742.02/153,321.87
  6. Step 6: Final answer
    x = 61,515.81

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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.