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Finding the Fourth Proportional to 212,894.38, 293,788.78 and 117,394.84

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Solution

The fourth proportional to 212,894.38, 293,788.78 and 117,394.84 is: 162,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,894.38 : 293,788.78 = 117,394.84 : x
  2. Step 2: Convert to fraction form
    212,894.38/293,788.78 = 117,394.84/x
  3. Step 3: Cross multiply
    212,894.38x = 293,788.78 × 117,394.84
  4. Step 4: Simplify right side
    212,894.38x = 34,489,286,821.90
  5. Step 5: Solve for x
    x = 34,489,286,821.90/212,894.38
  6. Step 6: Final answer
    x = 162,001.87

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1.5x scale

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.