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Finding the Fourth Proportional to 218,385.38, 301,370.86 and 122,893.68

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Solution

The fourth proportional to 218,385.38, 301,370.86 and 122,893.68 is: 169,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,385.38 : 301,370.86 = 122,893.68 : x
  2. Step 2: Convert to fraction form
    218,385.38/301,370.86 = 122,893.68/x
  3. Step 3: Cross multiply
    218,385.38x = 301,370.86 × 122,893.68
  4. Step 4: Simplify right side
    218,385.38x = 37,036,574,030.16
  5. Step 5: Solve for x
    x = 37,036,574,030.16/218,385.38
  6. Step 6: Final answer
    x = 169,592.74

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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.