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Finding the Fourth Proportional to 229,121.84, 316,190.10 and 127,154.18

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Solution

The fourth proportional to 229,121.84, 316,190.10 and 127,154.18 is: 175,473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,121.84 : 316,190.10 = 127,154.18 : x
  2. Step 2: Convert to fraction form
    229,121.84/316,190.10 = 127,154.18/x
  3. Step 3: Cross multiply
    229,121.84x = 316,190.10 × 127,154.18
  4. Step 4: Simplify right side
    229,121.84x = 40,204,892,889.62
  5. Step 5: Solve for x
    x = 40,204,892,889.62/229,121.84
  6. Step 6: Final answer
    x = 175,473.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.