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Finding the Fourth Proportional to 157,394.11, 217,208.49 and 85,778.74

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Solution

The fourth proportional to 157,394.11, 217,208.49 and 85,778.74 is: 118,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,394.11 : 217,208.49 = 85,778.74 : x
  2. Step 2: Convert to fraction form
    157,394.11/217,208.49 = 85,778.74/x
  3. Step 3: Cross multiply
    157,394.11x = 217,208.49 × 85,778.74
  4. Step 4: Simplify right side
    157,394.11x = 18,631,870,589.50
  5. Step 5: Solve for x
    x = 18,631,870,589.50/157,394.11
  6. Step 6: Final answer
    x = 118,377.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.