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Finding the Fourth Proportional to 96,256.06, 144,282.26 and 36,258.57

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Solution

The fourth proportional to 96,256.06, 144,282.26 and 36,258.57 is: 54,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,256.06 : 144,282.26 = 36,258.57 : x
  2. Step 2: Convert to fraction form
    96,256.06/144,282.26 = 36,258.57/x
  3. Step 3: Cross multiply
    96,256.06x = 144,282.26 × 36,258.57
  4. Step 4: Simplify right side
    96,256.06x = 5,231,468,514.61
  5. Step 5: Solve for x
    x = 5,231,468,514.61/96,256.06
  6. Step 6: Final answer
    x = 54,349.50

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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.