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Finding the Fourth Proportional to 147,869.68, 204,064.38 and 82,460.04

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Solution

The fourth proportional to 147,869.68, 204,064.38 and 82,460.04 is: 113,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,869.68 : 204,064.38 = 82,460.04 : x
  2. Step 2: Convert to fraction form
    147,869.68/204,064.38 = 82,460.04/x
  3. Step 3: Cross multiply
    147,869.68x = 204,064.38 × 82,460.04
  4. Step 4: Simplify right side
    147,869.68x = 16,827,156,937.38
  5. Step 5: Solve for x
    x = 16,827,156,937.38/147,869.68
  6. Step 6: Final answer
    x = 113,797.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.