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Finding the Fourth Proportional to 145,890.78, 201,326.49 and 82,227.30

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Solution

The fourth proportional to 145,890.78, 201,326.49 and 82,227.30 is: 113,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,890.78 : 201,326.49 = 82,227.30 : x
  2. Step 2: Convert to fraction form
    145,890.78/201,326.49 = 82,227.30/x
  3. Step 3: Cross multiply
    145,890.78x = 201,326.49 × 82,227.30
  4. Step 4: Simplify right side
    145,890.78x = 16,554,533,691.18
  5. Step 5: Solve for x
    x = 16,554,533,691.18/145,890.78
  6. Step 6: Final answer
    x = 113,472.10

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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.