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Finding the Fourth Proportional to 217,973.38, 300,830.14 and 122,478

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Solution

The fourth proportional to 217,973.38, 300,830.14 and 122,478 is: 169,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,973.38 : 300,830.14 = 122,478 : x
  2. Step 2: Convert to fraction form
    217,973.38/300,830.14 = 122,478/x
  3. Step 3: Cross multiply
    217,973.38x = 300,830.14 × 122,478
  4. Step 4: Simplify right side
    217,973.38x = 36,845,073,886.92
  5. Step 5: Solve for x
    x = 36,845,073,886.92/217,973.38
  6. Step 6: Final answer
    x = 169,034.74

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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.