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Finding the Fourth Proportional to 157,353.42, 217,150.20 and 85,733.43

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Solution

The fourth proportional to 157,353.42, 217,150.20 and 85,733.43 is: 118,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,353.42 : 217,150.20 = 85,733.43 : x
  2. Step 2: Convert to fraction form
    157,353.42/217,150.20 = 85,733.43/x
  3. Step 3: Cross multiply
    157,353.42x = 217,150.20 × 85,733.43
  4. Step 4: Simplify right side
    157,353.42x = 18,617,031,471.19
  5. Step 5: Solve for x
    x = 18,617,031,471.19/157,353.42
  6. Step 6: Final answer
    x = 118,313.48

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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.