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Finding the Fourth Proportional to 212,977.38, 293,778.54 and 136,470.72

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Solution

The fourth proportional to 212,977.38, 293,778.54 and 136,470.72 is: 188,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,977.38 : 293,778.54 = 136,470.72 : x
  2. Step 2: Convert to fraction form
    212,977.38/293,778.54 = 136,470.72/x
  3. Step 3: Cross multiply
    212,977.38x = 293,778.54 × 136,470.72
  4. Step 4: Simplify right side
    212,977.38x = 40,092,168,874.35
  5. Step 5: Solve for x
    x = 40,092,168,874.35/212,977.38
  6. Step 6: Final answer
    x = 188,246.14

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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.