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Finding the Fourth Proportional to 157,079.57, 216,774.41 and 85,464.20

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Solution

The fourth proportional to 157,079.57, 216,774.41 and 85,464.20 is: 117,943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,079.57 : 216,774.41 = 85,464.20 : x
  2. Step 2: Convert to fraction form
    157,079.57/216,774.41 = 85,464.20/x
  3. Step 3: Cross multiply
    157,079.57x = 216,774.41 × 85,464.20
  4. Step 4: Simplify right side
    157,079.57x = 18,526,452,182.19
  5. Step 5: Solve for x
    x = 18,526,452,182.19/157,079.57
  6. Step 6: Final answer
    x = 117,943.11

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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.