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Finding the Fourth Proportional to 227,484, 313,937.64 and 126,882

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Solution

The fourth proportional to 227,484, 313,937.64 and 126,882 is: 175,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,484 : 313,937.64 = 126,882 : x
  2. Step 2: Convert to fraction form
    227,484/313,937.64 = 126,882/x
  3. Step 3: Cross multiply
    227,484x = 313,937.64 × 126,882
  4. Step 4: Simplify right side
    227,484x = 39,833,035,638.48
  5. Step 5: Solve for x
    x = 39,833,035,638.48/227,484
  6. Step 6: Final answer
    x = 175,102.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.