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Finding the Fourth Proportional to 240,031.92, 359,487.36 and 189,774.48

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Solution

The fourth proportional to 240,031.92, 359,487.36 and 189,774.48 is: 284,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,031.92 : 359,487.36 = 189,774.48 : x
  2. Step 2: Convert to fraction form
    240,031.92/359,487.36 = 189,774.48/x
  3. Step 3: Cross multiply
    240,031.92x = 359,487.36 × 189,774.48
  4. Step 4: Simplify right side
    240,031.92x = 68,221,526,810.57
  5. Step 5: Solve for x
    x = 68,221,526,810.57/240,031.92
  6. Step 6: Final answer
    x = 284,218.56

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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.