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Finding the Fourth Proportional to 96,758.10, 144,809.10 and 84,948.30

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Solution

The fourth proportional to 96,758.10, 144,809.10 and 84,948.30 is: 127,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,758.10 : 144,809.10 = 84,948.30 : x
  2. Step 2: Convert to fraction form
    96,758.10/144,809.10 = 84,948.30/x
  3. Step 3: Cross multiply
    96,758.10x = 144,809.10 × 84,948.30
  4. Step 4: Simplify right side
    96,758.10x = 12,301,286,869.53
  5. Step 5: Solve for x
    x = 12,301,286,869.53/96,758.10
  6. Step 6: Final answer
    x = 127,134.44

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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.