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Finding the Fourth Proportional to 157,119.86, 216,826.12 and 85,499.40

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Solution

The fourth proportional to 157,119.86, 216,826.12 and 85,499.40 is: 117,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,119.86 : 216,826.12 = 85,499.40 : x
  2. Step 2: Convert to fraction form
    157,119.86/216,826.12 = 85,499.40/x
  3. Step 3: Cross multiply
    157,119.86x = 216,826.12 × 85,499.40
  4. Step 4: Simplify right side
    157,119.86x = 18,538,503,164.33
  5. Step 5: Solve for x
    x = 18,538,503,164.33/157,119.86
  6. Step 6: Final answer
    x = 117,989.56

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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.