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Finding the Fourth Proportional to 468,686, 703,148.88 and 136,262

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Solution

The fourth proportional to 468,686, 703,148.88 and 136,262 is: 204,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,686 : 703,148.88 = 136,262 : x
  2. Step 2: Convert to fraction form
    468,686/703,148.88 = 136,262/x
  3. Step 3: Cross multiply
    468,686x = 703,148.88 × 136,262
  4. Step 4: Simplify right side
    468,686x = 95,812,472,686.56
  5. Step 5: Solve for x
    x = 95,812,472,686.56/468,686
  6. Step 6: Final answer
    x = 204,427.85

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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.