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Finding the Fourth Proportional to 157,343.72, 217,134.35 and 85,723.74

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Solution

The fourth proportional to 157,343.72, 217,134.35 and 85,723.74 is: 118,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,343.72 : 217,134.35 = 85,723.74 : x
  2. Step 2: Convert to fraction form
    157,343.72/217,134.35 = 85,723.74/x
  3. Step 3: Cross multiply
    157,343.72x = 217,134.35 × 85,723.74
  4. Step 4: Simplify right side
    157,343.72x = 18,613,568,453.34
  5. Step 5: Solve for x
    x = 18,613,568,453.34/157,343.72
  6. Step 6: Final answer
    x = 118,298.77

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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.