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Finding the Fourth Proportional to 145,422.60, 217,865.10 and 82,907.40

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Solution

The fourth proportional to 145,422.60, 217,865.10 and 82,907.40 is: 124,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,422.60 : 217,865.10 = 82,907.40 : x
  2. Step 2: Convert to fraction form
    145,422.60/217,865.10 = 82,907.40/x
  3. Step 3: Cross multiply
    145,422.60x = 217,865.10 × 82,907.40
  4. Step 4: Simplify right side
    145,422.60x = 18,062,628,991.74
  5. Step 5: Solve for x
    x = 18,062,628,991.74/145,422.60
  6. Step 6: Final answer
    x = 124,207.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.