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Finding the Fourth Proportional to 240,192, 360,288 and 65,088

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Solution

The fourth proportional to 240,192, 360,288 and 65,088 is: 97,632

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,192 : 360,288 = 65,088 : x
  2. Step 2: Convert to fraction form
    240,192/360,288 = 65,088/x
  3. Step 3: Cross multiply
    240,192x = 360,288 × 65,088
  4. Step 4: Simplify right side
    240,192x = 23,450,425,344
  5. Step 5: Solve for x
    x = 23,450,425,344/240,192
  6. Step 6: Final answer
    x = 97,632

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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.