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Finding the Fourth Proportional to 205,322.20, 283,344.06 and 115,898.20

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Solution

The fourth proportional to 205,322.20, 283,344.06 and 115,898.20 is: 159,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,322.20 : 283,344.06 = 115,898.20 : x
  2. Step 2: Convert to fraction form
    205,322.20/283,344.06 = 115,898.20/x
  3. Step 3: Cross multiply
    205,322.20x = 283,344.06 × 115,898.20
  4. Step 4: Simplify right side
    205,322.20x = 32,839,066,534.69
  5. Step 5: Solve for x
    x = 32,839,066,534.69/205,322.20
  6. Step 6: Final answer
    x = 159,939.19

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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.