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Finding the Fourth Proportional to 201,407.96, 302,064.17 and 75,107.49

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Solution

The fourth proportional to 201,407.96, 302,064.17 and 75,107.49 is: 112,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,407.96 : 302,064.17 = 75,107.49 : x
  2. Step 2: Convert to fraction form
    201,407.96/302,064.17 = 75,107.49/x
  3. Step 3: Cross multiply
    201,407.96x = 302,064.17 × 75,107.49
  4. Step 4: Simplify right side
    201,407.96x = 22,687,281,252.10
  5. Step 5: Solve for x
    x = 22,687,281,252.10/201,407.96
  6. Step 6: Final answer
    x = 112,643.42

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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.