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Finding the Fourth Proportional to 126,262.84, 189,345.04 and 47,334

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Solution

The fourth proportional to 126,262.84, 189,345.04 and 47,334 is: 70,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,262.84 : 189,345.04 = 47,334 : x
  2. Step 2: Convert to fraction form
    126,262.84/189,345.04 = 47,334/x
  3. Step 3: Cross multiply
    126,262.84x = 189,345.04 × 47,334
  4. Step 4: Simplify right side
    126,262.84x = 8,962,458,123.36
  5. Step 5: Solve for x
    x = 8,962,458,123.36/126,262.84
  6. Step 6: Final answer
    x = 70,982.55

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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.