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Finding the Fourth Proportional to 229,692.30, 316,976.27 and 127,727.07

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Solution

The fourth proportional to 229,692.30, 316,976.27 and 127,727.07 is: 176,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,692.30 : 316,976.27 = 127,727.07 : x
  2. Step 2: Convert to fraction form
    229,692.30/316,976.27 = 127,727.07/x
  3. Step 3: Cross multiply
    229,692.30x = 316,976.27 × 127,727.07
  4. Step 4: Simplify right side
    229,692.30x = 40,486,449,587.99
  5. Step 5: Solve for x
    x = 40,486,449,587.99/229,692.30
  6. Step 6: Final answer
    x = 176,263.85

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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.