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Finding the Fourth Proportional to 267,872.30, 369,663.47 and 147,013.89

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Solution

The fourth proportional to 267,872.30, 369,663.47 and 147,013.89 is: 202,879.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,872.30 : 369,663.47 = 147,013.89 : x
  2. Step 2: Convert to fraction form
    267,872.30/369,663.47 = 147,013.89/x
  3. Step 3: Cross multiply
    267,872.30x = 369,663.47 × 147,013.89
  4. Step 4: Simplify right side
    267,872.30x = 54,345,666,678.11
  5. Step 5: Solve for x
    x = 54,345,666,678.11/267,872.30
  6. Step 6: Final answer
    x = 202,879.01

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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.