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Finding the Fourth Proportional to 157,793.27, 235,300.14 and 156,371.72

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Solution

The fourth proportional to 157,793.27, 235,300.14 and 156,371.72 is: 233,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,793.27 : 235,300.14 = 156,371.72 : x
  2. Step 2: Convert to fraction form
    157,793.27/235,300.14 = 156,371.72/x
  3. Step 3: Cross multiply
    157,793.27x = 235,300.14 × 156,371.72
  4. Step 4: Simplify right side
    157,793.27x = 36,794,286,431.54
  5. Step 5: Solve for x
    x = 36,794,286,431.54/157,793.27
  6. Step 6: Final answer
    x = 233,180.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.