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Finding the Fourth Proportional to 227,684, 314,207.16 and 127,082

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Solution

The fourth proportional to 227,684, 314,207.16 and 127,082 is: 175,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,684 : 314,207.16 = 127,082 : x
  2. Step 2: Convert to fraction form
    227,684/314,207.16 = 127,082/x
  3. Step 3: Cross multiply
    227,684x = 314,207.16 × 127,082
  4. Step 4: Simplify right side
    227,684x = 39,930,074,307.12
  5. Step 5: Solve for x
    x = 39,930,074,307.12/227,684
  6. Step 6: Final answer
    x = 175,374.97

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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.