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Finding the Fourth Proportional to 216,053.40, 324,080.10 and 137,224.20

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Solution

The fourth proportional to 216,053.40, 324,080.10 and 137,224.20 is: 205,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,053.40 : 324,080.10 = 137,224.20 : x
  2. Step 2: Convert to fraction form
    216,053.40/324,080.10 = 137,224.20/x
  3. Step 3: Cross multiply
    216,053.40x = 324,080.10 × 137,224.20
  4. Step 4: Simplify right side
    216,053.40x = 44,471,632,458.42
  5. Step 5: Solve for x
    x = 44,471,632,458.42/216,053.40
  6. Step 6: Final answer
    x = 205,836.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.