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Finding the Fourth Proportional to 92,213.10, 138,319.65 and 92,213.10

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Solution

The fourth proportional to 92,213.10, 138,319.65 and 92,213.10 is: 138,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,213.10 : 138,319.65 = 92,213.10 : x
  2. Step 2: Convert to fraction form
    92,213.10/138,319.65 = 92,213.10/x
  3. Step 3: Cross multiply
    92,213.10x = 138,319.65 × 92,213.10
  4. Step 4: Simplify right side
    92,213.10x = 12,754,883,717.42
  5. Step 5: Solve for x
    x = 12,754,883,717.42/92,213.10
  6. Step 6: Final answer
    x = 138,319.65

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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.