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Finding the Fourth Proportional to 272,349.92, 408,434.16 and 114,548.96

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Solution

The fourth proportional to 272,349.92, 408,434.16 and 114,548.96 is: 171,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,349.92 : 408,434.16 = 114,548.96 : x
  2. Step 2: Convert to fraction form
    272,349.92/408,434.16 = 114,548.96/x
  3. Step 3: Cross multiply
    272,349.92x = 408,434.16 × 114,548.96
  4. Step 4: Simplify right side
    272,349.92x = 46,785,708,256.47
  5. Step 5: Solve for x
    x = 46,785,708,256.47/272,349.92
  6. Step 6: Final answer
    x = 171,785.28

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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.