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Finding the Fourth Proportional to 145,299.90, 200,488.59 and 81,640.38

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Solution

The fourth proportional to 145,299.90, 200,488.59 and 81,640.38 is: 112,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,299.90 : 200,488.59 = 81,640.38 : x
  2. Step 2: Convert to fraction form
    145,299.90/200,488.59 = 81,640.38/x
  3. Step 3: Cross multiply
    145,299.90x = 200,488.59 × 81,640.38
  4. Step 4: Simplify right side
    145,299.90x = 16,367,964,673.26
  5. Step 5: Solve for x
    x = 16,367,964,673.26/145,299.90
  6. Step 6: Final answer
    x = 112,649.52

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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.