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Finding the Fourth Proportional to 157,447.82, 217,239.23 and 96,178.41

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Solution

The fourth proportional to 157,447.82, 217,239.23 and 96,178.41 is: 132,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,447.82 : 217,239.23 = 96,178.41 : x
  2. Step 2: Convert to fraction form
    157,447.82/217,239.23 = 96,178.41/x
  3. Step 3: Cross multiply
    157,447.82x = 217,239.23 × 96,178.41
  4. Step 4: Simplify right side
    157,447.82x = 20,893,723,971.47
  5. Step 5: Solve for x
    x = 20,893,723,971.47/157,447.82
  6. Step 6: Final answer
    x = 132,702.53

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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.