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Finding the Fourth Proportional to 229,666.84, 316,930.38 and 127,692.16

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Solution

The fourth proportional to 229,666.84, 316,930.38 and 127,692.16 is: 176,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,666.84 : 316,930.38 = 127,692.16 : x
  2. Step 2: Convert to fraction form
    229,666.84/316,930.38 = 127,692.16/x
  3. Step 3: Cross multiply
    229,666.84x = 316,930.38 × 127,692.16
  4. Step 4: Simplify right side
    229,666.84x = 40,469,524,791.82
  5. Step 5: Solve for x
    x = 40,469,524,791.82/229,666.84
  6. Step 6: Final answer
    x = 176,209.70

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1.5x scale

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.