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Finding the Fourth Proportional to 92,215.40, 138,452.70 and 57,223.40

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Solution

The fourth proportional to 92,215.40, 138,452.70 and 57,223.40 is: 85,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,215.40 : 138,452.70 = 57,223.40 : x
  2. Step 2: Convert to fraction form
    92,215.40/138,452.70 = 57,223.40/x
  3. Step 3: Cross multiply
    92,215.40x = 138,452.70 × 57,223.40
  4. Step 4: Simplify right side
    92,215.40x = 7,922,734,233.18
  5. Step 5: Solve for x
    x = 7,922,734,233.18/92,215.40
  6. Step 6: Final answer
    x = 85,915.52

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1.5x scale

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.