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Finding the Fourth Proportional to 201,592.26, 302,432.12 and 61,347.24

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Solution

The fourth proportional to 201,592.26, 302,432.12 and 61,347.24 is: 92,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,592.26 : 302,432.12 = 61,347.24 : x
  2. Step 2: Convert to fraction form
    201,592.26/302,432.12 = 61,347.24/x
  3. Step 3: Cross multiply
    201,592.26x = 302,432.12 × 61,347.24
  4. Step 4: Simplify right side
    201,592.26x = 18,553,375,849.35
  5. Step 5: Solve for x
    x = 18,553,375,849.35/201,592.26
  6. Step 6: Final answer
    x = 92,034.17

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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.