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Finding the Fourth Proportional to 153,523.92, 229,952.58 and 74,472

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Solution

The fourth proportional to 153,523.92, 229,952.58 and 74,472 is: 111,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,523.92 : 229,952.58 = 74,472 : x
  2. Step 2: Convert to fraction form
    153,523.92/229,952.58 = 74,472/x
  3. Step 3: Cross multiply
    153,523.92x = 229,952.58 × 74,472
  4. Step 4: Simplify right side
    153,523.92x = 17,125,028,537.76
  5. Step 5: Solve for x
    x = 17,125,028,537.76/153,523.92
  6. Step 6: Final answer
    x = 111,546.32

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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.