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Finding the Fourth Proportional to 218,029.14, 300,905.16 and 121,242.66

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Solution

The fourth proportional to 218,029.14, 300,905.16 and 121,242.66 is: 167,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,029.14 : 300,905.16 = 121,242.66 : x
  2. Step 2: Convert to fraction form
    218,029.14/300,905.16 = 121,242.66/x
  3. Step 3: Cross multiply
    218,029.14x = 300,905.16 × 121,242.66
  4. Step 4: Simplify right side
    218,029.14x = 36,482,542,006.13
  5. Step 5: Solve for x
    x = 36,482,542,006.13/218,029.14
  6. Step 6: Final answer
    x = 167,328.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.