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Finding the Fourth Proportional to 102,348, 141,241.15 and 59,907.44

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Solution

The fourth proportional to 102,348, 141,241.15 and 59,907.44 is: 82,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,348 : 141,241.15 = 59,907.44 : x
  2. Step 2: Convert to fraction form
    102,348/141,241.15 = 59,907.44/x
  3. Step 3: Cross multiply
    102,348x = 141,241.15 × 59,907.44
  4. Step 4: Simplify right side
    102,348x = 8,461,396,147.14
  5. Step 5: Solve for x
    x = 8,461,396,147.14/102,348
  6. Step 6: Final answer
    x = 82,672.80

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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.