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Finding the Fourth Proportional to 153,951.92, 230,934.40 and 48,768.56

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Solution

The fourth proportional to 153,951.92, 230,934.40 and 48,768.56 is: 73,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,951.92 : 230,934.40 = 48,768.56 : x
  2. Step 2: Convert to fraction form
    153,951.92/230,934.40 = 48,768.56/x
  3. Step 3: Cross multiply
    153,951.92x = 230,934.40 × 48,768.56
  4. Step 4: Simplify right side
    153,951.92x = 11,262,338,142.46
  5. Step 5: Solve for x
    x = 11,262,338,142.46/153,951.92
  6. Step 6: Final answer
    x = 73,154.91

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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.