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Finding the Fourth Proportional to 113,654.88, 170,385.12 and 43,584.48

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Solution

The fourth proportional to 113,654.88, 170,385.12 and 43,584.48 is: 65,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,654.88 : 170,385.12 = 43,584.48 : x
  2. Step 2: Convert to fraction form
    113,654.88/170,385.12 = 43,584.48/x
  3. Step 3: Cross multiply
    113,654.88x = 170,385.12 × 43,584.48
  4. Step 4: Simplify right side
    113,654.88x = 7,426,146,854.94
  5. Step 5: Solve for x
    x = 7,426,146,854.94/113,654.88
  6. Step 6: Final answer
    x = 65,339.45

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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.