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Finding the Fourth Proportional to 157,080.57, 216,775.79 and 85,465.20

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Solution

The fourth proportional to 157,080.57, 216,775.79 and 85,465.20 is: 117,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,080.57 : 216,775.79 = 85,465.20 : x
  2. Step 2: Convert to fraction form
    157,080.57/216,775.79 = 85,465.20/x
  3. Step 3: Cross multiply
    157,080.57x = 216,775.79 × 85,465.20
  4. Step 4: Simplify right side
    157,080.57x = 18,526,786,247.51
  5. Step 5: Solve for x
    x = 18,526,786,247.51/157,080.57
  6. Step 6: Final answer
    x = 117,944.48

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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.