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Finding the Fourth Proportional to 157,378.16, 217,181.78 and 85,758.08

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Solution

The fourth proportional to 157,378.16, 217,181.78 and 85,758.08 is: 118,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,378.16 : 217,181.78 = 85,758.08 : x
  2. Step 2: Convert to fraction form
    157,378.16/217,181.78 = 85,758.08/x
  3. Step 3: Cross multiply
    157,378.16x = 217,181.78 × 85,758.08
  4. Step 4: Simplify right side
    157,378.16x = 18,625,092,463.78
  5. Step 5: Solve for x
    x = 18,625,092,463.78/157,378.16
  6. Step 6: Final answer
    x = 118,346.11

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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.