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Finding the Fourth Proportional to 227,774.64, 341,694.63 and 70,016.34

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Solution

The fourth proportional to 227,774.64, 341,694.63 and 70,016.34 is: 105,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,774.64 : 341,694.63 = 70,016.34 : x
  2. Step 2: Convert to fraction form
    227,774.64/341,694.63 = 70,016.34/x
  3. Step 3: Cross multiply
    227,774.64x = 341,694.63 × 70,016.34
  4. Step 4: Simplify right side
    227,774.64x = 23,924,207,390.25
  5. Step 5: Solve for x
    x = 23,924,207,390.25/227,774.64
  6. Step 6: Final answer
    x = 105,034.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.