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Finding the Fourth Proportional to 153,531.54, 230,305.56 and 48,358.74

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Solution

The fourth proportional to 153,531.54, 230,305.56 and 48,358.74 is: 72,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,531.54 : 230,305.56 = 48,358.74 : x
  2. Step 2: Convert to fraction form
    153,531.54/230,305.56 = 48,358.74/x
  3. Step 3: Cross multiply
    153,531.54x = 230,305.56 × 48,358.74
  4. Step 4: Simplify right side
    153,531.54x = 11,137,286,696.59
  5. Step 5: Solve for x
    x = 11,137,286,696.59/153,531.54
  6. Step 6: Final answer
    x = 72,540.71

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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.