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Finding the Fourth Proportional to 96,492, 144,740.84 and 82,362.94

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Solution

The fourth proportional to 96,492, 144,740.84 and 82,362.94 is: 123,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,492 : 144,740.84 = 82,362.94 : x
  2. Step 2: Convert to fraction form
    96,492/144,740.84 = 82,362.94/x
  3. Step 3: Cross multiply
    96,492x = 144,740.84 × 82,362.94
  4. Step 4: Simplify right side
    96,492x = 11,921,281,120.47
  5. Step 5: Solve for x
    x = 11,921,281,120.47/96,492
  6. Step 6: Final answer
    x = 123,546.83

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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.