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Finding the Fourth Proportional to 229,164.67, 316,242.47 and 127,184.20

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Solution

The fourth proportional to 229,164.67, 316,242.47 and 127,184.20 is: 175,511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,164.67 : 316,242.47 = 127,184.20 : x
  2. Step 2: Convert to fraction form
    229,164.67/316,242.47 = 127,184.20/x
  3. Step 3: Cross multiply
    229,164.67x = 316,242.47 × 127,184.20
  4. Step 4: Simplify right side
    229,164.67x = 40,221,043,335.84
  5. Step 5: Solve for x
    x = 40,221,043,335.84/229,164.67
  6. Step 6: Final answer
    x = 175,511.54

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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.