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Finding the Fourth Proportional to 147,434.38, 203,460.86 and 83,772.63

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Solution

The fourth proportional to 147,434.38, 203,460.86 and 83,772.63 is: 115,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,434.38 : 203,460.86 = 83,772.63 : x
  2. Step 2: Convert to fraction form
    147,434.38/203,460.86 = 83,772.63/x
  3. Step 3: Cross multiply
    147,434.38x = 203,460.86 × 83,772.63
  4. Step 4: Simplify right side
    147,434.38x = 17,044,451,553.69
  5. Step 5: Solve for x
    x = 17,044,451,553.69/147,434.38
  6. Step 6: Final answer
    x = 115,607.04

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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.