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Finding the Fourth Proportional to 157,305.54, 217,082.22 and 85,684.88

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Solution

The fourth proportional to 157,305.54, 217,082.22 and 85,684.88 is: 118,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,305.54 : 217,082.22 = 85,684.88 : x
  2. Step 2: Convert to fraction form
    157,305.54/217,082.22 = 85,684.88/x
  3. Step 3: Cross multiply
    157,305.54x = 217,082.22 × 85,684.88
  4. Step 4: Simplify right side
    157,305.54x = 18,600,663,970.83
  5. Step 5: Solve for x
    x = 18,600,663,970.83/157,305.54
  6. Step 6: Final answer
    x = 118,245.45

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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.