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Finding the Fourth Proportional to 101,862.17, 153,042.35 and 96,197.15

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Solution

The fourth proportional to 101,862.17, 153,042.35 and 96,197.15 is: 144,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,862.17 : 153,042.35 = 96,197.15 : x
  2. Step 2: Convert to fraction form
    101,862.17/153,042.35 = 96,197.15/x
  3. Step 3: Cross multiply
    101,862.17x = 153,042.35 × 96,197.15
  4. Step 4: Simplify right side
    101,862.17x = 14,722,237,418.32
  5. Step 5: Solve for x
    x = 14,722,237,418.32/101,862.17
  6. Step 6: Final answer
    x = 144,530.96

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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.