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Finding the Fourth Proportional to 267,564.69, 369,229.28 and 146,703.15

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Solution

The fourth proportional to 267,564.69, 369,229.28 and 146,703.15 is: 202,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,564.69 : 369,229.28 = 146,703.15 : x
  2. Step 2: Convert to fraction form
    267,564.69/369,229.28 = 146,703.15/x
  3. Step 3: Cross multiply
    267,564.69x = 369,229.28 × 146,703.15
  4. Step 4: Simplify right side
    267,564.69x = 54,167,097,714.72
  5. Step 5: Solve for x
    x = 54,167,097,714.72/267,564.69
  6. Step 6: Final answer
    x = 202,444.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.