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Finding the Fourth Proportional to 269,694.72, 372,202.56 and 148,862.16

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Solution

The fourth proportional to 269,694.72, 372,202.56 and 148,862.16 is: 205,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,694.72 : 372,202.56 = 148,862.16 : x
  2. Step 2: Convert to fraction form
    269,694.72/372,202.56 = 148,862.16/x
  3. Step 3: Cross multiply
    269,694.72x = 372,202.56 × 148,862.16
  4. Step 4: Simplify right side
    269,694.72x = 55,406,877,039.13
  5. Step 5: Solve for x
    x = 55,406,877,039.13/269,694.72
  6. Step 6: Final answer
    x = 205,442.94

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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.