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Finding the Fourth Proportional to 229,722.90, 316,971.14 and 134,211.14

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Solution

The fourth proportional to 229,722.90, 316,971.14 and 134,211.14 is: 185,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,722.90 : 316,971.14 = 134,211.14 : x
  2. Step 2: Convert to fraction form
    229,722.90/316,971.14 = 134,211.14/x
  3. Step 3: Cross multiply
    229,722.90x = 316,971.14 × 134,211.14
  4. Step 4: Simplify right side
    229,722.90x = 42,541,059,517.13
  5. Step 5: Solve for x
    x = 42,541,059,517.13/229,722.90
  6. Step 6: Final answer
    x = 185,184.23

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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.