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Finding the Fourth Proportional to 240,204, 360,306 and 65,100

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Solution

The fourth proportional to 240,204, 360,306 and 65,100 is: 97,650

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,204 : 360,306 = 65,100 : x
  2. Step 2: Convert to fraction form
    240,204/360,306 = 65,100/x
  3. Step 3: Cross multiply
    240,204x = 360,306 × 65,100
  4. Step 4: Simplify right side
    240,204x = 23,455,920,600
  5. Step 5: Solve for x
    x = 23,455,920,600/240,204
  6. Step 6: Final answer
    x = 97,650

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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.