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Finding the Fourth Proportional to 153,759.68, 230,631.31 and 41,438.09

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Solution

The fourth proportional to 153,759.68, 230,631.31 and 41,438.09 is: 62,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,759.68 : 230,631.31 = 41,438.09 : x
  2. Step 2: Convert to fraction form
    153,759.68/230,631.31 = 41,438.09/x
  3. Step 3: Cross multiply
    153,759.68x = 230,631.31 × 41,438.09
  4. Step 4: Simplify right side
    153,759.68x = 9,556,921,608.97
  5. Step 5: Solve for x
    x = 9,556,921,608.97/153,759.68
  6. Step 6: Final answer
    x = 62,154.93

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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.