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Finding the Fourth Proportional to 272,149.32, 408,409.74 and 94,654.56

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Solution

The fourth proportional to 272,149.32, 408,409.74 and 94,654.56 is: 142,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,149.32 : 408,409.74 = 94,654.56 : x
  2. Step 2: Convert to fraction form
    272,149.32/408,409.74 = 94,654.56/x
  3. Step 3: Cross multiply
    272,149.32x = 408,409.74 × 94,654.56
  4. Step 4: Simplify right side
    272,149.32x = 38,657,844,239.41
  5. Step 5: Solve for x
    x = 38,657,844,239.41/272,149.32
  6. Step 6: Final answer
    x = 142,046.45

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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.