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Finding the Fourth Proportional to 92,213.70, 138,320.55 and 83,465.70

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Solution

The fourth proportional to 92,213.70, 138,320.55 and 83,465.70 is: 125,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,213.70 : 138,320.55 = 83,465.70 : x
  2. Step 2: Convert to fraction form
    92,213.70/138,320.55 = 83,465.70/x
  3. Step 3: Cross multiply
    92,213.70x = 138,320.55 × 83,465.70
  4. Step 4: Simplify right side
    92,213.70x = 11,545,021,530.14
  5. Step 5: Solve for x
    x = 11,545,021,530.14/92,213.70
  6. Step 6: Final answer
    x = 125,198.55

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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.