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Finding the Fourth Proportional to 153,522.92, 229,951.08 and 74,471

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Solution

The fourth proportional to 153,522.92, 229,951.08 and 74,471 is: 111,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,522.92 : 229,951.08 = 74,471 : x
  2. Step 2: Convert to fraction form
    153,522.92/229,951.08 = 74,471/x
  3. Step 3: Cross multiply
    153,522.92x = 229,951.08 × 74,471
  4. Step 4: Simplify right side
    153,522.92x = 17,124,686,878.68
  5. Step 5: Solve for x
    x = 17,124,686,878.68/153,522.92
  6. Step 6: Final answer
    x = 111,544.82

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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.