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Finding the Fourth Proportional to 207,541.70, 311,312.55 and 189,170.90

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Solution

The fourth proportional to 207,541.70, 311,312.55 and 189,170.90 is: 283,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,541.70 : 311,312.55 = 189,170.90 : x
  2. Step 2: Convert to fraction form
    207,541.70/311,312.55 = 189,170.90/x
  3. Step 3: Cross multiply
    207,541.70x = 311,312.55 × 189,170.90
  4. Step 4: Simplify right side
    207,541.70x = 58,891,275,264.80
  5. Step 5: Solve for x
    x = 58,891,275,264.80/207,541.70
  6. Step 6: Final answer
    x = 283,756.35

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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.