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Finding the Fourth Proportional to 201,694.36, 302,585.10 and 61,449.16

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Solution

The fourth proportional to 201,694.36, 302,585.10 and 61,449.16 is: 92,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,694.36 : 302,585.10 = 61,449.16 : x
  2. Step 2: Convert to fraction form
    201,694.36/302,585.10 = 61,449.16/x
  3. Step 3: Cross multiply
    201,694.36x = 302,585.10 × 61,449.16
  4. Step 4: Simplify right side
    201,694.36x = 18,593,600,223.52
  5. Step 5: Solve for x
    x = 18,593,600,223.52/201,694.36
  6. Step 6: Final answer
    x = 92,187.01

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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.