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Finding the Fourth Proportional to 602,191.26, 903,287.30 and 152,945.82

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Solution

The fourth proportional to 602,191.26, 903,287.30 and 152,945.82 is: 229,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,191.26 : 903,287.30 = 152,945.82 : x
  2. Step 2: Convert to fraction form
    602,191.26/903,287.30 = 152,945.82/x
  3. Step 3: Cross multiply
    602,191.26x = 903,287.30 × 152,945.82
  4. Step 4: Simplify right side
    602,191.26x = 138,154,016,794.09
  5. Step 5: Solve for x
    x = 138,154,016,794.09/602,191.26
  6. Step 6: Final answer
    x = 229,418.83

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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.