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Finding the Fourth Proportional to 229,176.84, 316,249.10 and 127,197.38

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Solution

The fourth proportional to 229,176.84, 316,249.10 and 127,197.38 is: 175,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,176.84 : 316,249.10 = 127,197.38 : x
  2. Step 2: Convert to fraction form
    229,176.84/316,249.10 = 127,197.38/x
  3. Step 3: Cross multiply
    229,176.84x = 316,249.10 × 127,197.38
  4. Step 4: Simplify right side
    229,176.84x = 40,226,056,947.36
  5. Step 5: Solve for x
    x = 40,226,056,947.36/229,176.84
  6. Step 6: Final answer
    x = 175,524.09

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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.