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Finding the Fourth Proportional to 157,113.40, 216,816.96 and 85,493.44

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Solution

The fourth proportional to 157,113.40, 216,816.96 and 85,493.44 is: 117,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,113.40 : 216,816.96 = 85,493.44 : x
  2. Step 2: Convert to fraction form
    157,113.40/216,816.96 = 85,493.44/x
  3. Step 3: Cross multiply
    157,113.40x = 216,816.96 × 85,493.44
  4. Step 4: Simplify right side
    157,113.40x = 18,536,427,760.74
  5. Step 5: Solve for x
    x = 18,536,427,760.74/157,113.40
  6. Step 6: Final answer
    x = 117,981.20

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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.