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Finding the Fourth Proportional to 156,777.50, 216,356.90 and 85,157.50

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Solution

The fourth proportional to 156,777.50, 216,356.90 and 85,157.50 is: 117,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,777.50 : 216,356.90 = 85,157.50 : x
  2. Step 2: Convert to fraction form
    156,777.50/216,356.90 = 85,157.50/x
  3. Step 3: Cross multiply
    156,777.50x = 216,356.90 × 85,157.50
  4. Step 4: Simplify right side
    156,777.50x = 18,424,412,711.75
  5. Step 5: Solve for x
    x = 18,424,412,711.75/156,777.50
  6. Step 6: Final answer
    x = 117,519.50

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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.