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Finding the Fourth Proportional to 145,799.48, 201,167.88 and 82,137.20

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Solution

The fourth proportional to 145,799.48, 201,167.88 and 82,137.20 is: 113,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,799.48 : 201,167.88 = 82,137.20 : x
  2. Step 2: Convert to fraction form
    145,799.48/201,167.88 = 82,137.20/x
  3. Step 3: Cross multiply
    145,799.48x = 201,167.88 × 82,137.20
  4. Step 4: Simplify right side
    145,799.48x = 16,523,366,393.14
  5. Step 5: Solve for x
    x = 16,523,366,393.14/145,799.48
  6. Step 6: Final answer
    x = 113,329.39

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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.