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Finding the Fourth Proportional to 157,201.50, 216,954.47 and 89,236.83

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Solution

The fourth proportional to 157,201.50, 216,954.47 and 89,236.83 is: 123,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,201.50 : 216,954.47 = 89,236.83 : x
  2. Step 2: Convert to fraction form
    157,201.50/216,954.47 = 89,236.83/x
  3. Step 3: Cross multiply
    157,201.50x = 216,954.47 × 89,236.83
  4. Step 4: Simplify right side
    157,201.50x = 19,360,329,380.22
  5. Step 5: Solve for x
    x = 19,360,329,380.22/157,201.50
  6. Step 6: Final answer
    x = 123,156.14

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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.