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Finding the Fourth Proportional to 153,791.86, 230,761.50 and 83,671.06

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Solution

The fourth proportional to 153,791.86, 230,761.50 and 83,671.06 is: 125,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,791.86 : 230,761.50 = 83,671.06 : x
  2. Step 2: Convert to fraction form
    153,791.86/230,761.50 = 83,671.06/x
  3. Step 3: Cross multiply
    153,791.86x = 230,761.50 × 83,671.06
  4. Step 4: Simplify right side
    153,791.86x = 19,308,059,312.19
  5. Step 5: Solve for x
    x = 19,308,059,312.19/153,791.86
  6. Step 6: Final answer
    x = 125,546.69

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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.