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Finding the Fourth Proportional to 96,512.40, 144,461.40 and 68,864.40

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Solution

The fourth proportional to 96,512.40, 144,461.40 and 68,864.40 is: 103,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,512.40 : 144,461.40 = 68,864.40 : x
  2. Step 2: Convert to fraction form
    96,512.40/144,461.40 = 68,864.40/x
  3. Step 3: Cross multiply
    96,512.40x = 144,461.40 × 68,864.40
  4. Step 4: Simplify right side
    96,512.40x = 9,948,247,634.16
  5. Step 5: Solve for x
    x = 9,948,247,634.16/96,512.40
  6. Step 6: Final answer
    x = 103,077.40

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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.