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Finding the Fourth Proportional to 92,223.90, 138,465.45 and 57,231.90

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Solution

The fourth proportional to 92,223.90, 138,465.45 and 57,231.90 is: 85,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,223.90 : 138,465.45 = 57,231.90 : x
  2. Step 2: Convert to fraction form
    92,223.90/138,465.45 = 57,231.90/x
  3. Step 3: Cross multiply
    92,223.90x = 138,465.45 × 57,231.90
  4. Step 4: Simplify right side
    92,223.90x = 7,924,640,787.86
  5. Step 5: Solve for x
    x = 7,924,640,787.86/92,223.90
  6. Step 6: Final answer
    x = 85,928.28

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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.