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Finding the Fourth Proportional to 334,890, 502,203.78 and 135,173.16

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Solution

The fourth proportional to 334,890, 502,203.78 and 135,173.16 is: 202,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,890 : 502,203.78 = 135,173.16 : x
  2. Step 2: Convert to fraction form
    334,890/502,203.78 = 135,173.16/x
  3. Step 3: Cross multiply
    334,890x = 502,203.78 × 135,173.16
  4. Step 4: Simplify right side
    334,890x = 67,884,471,906.54
  5. Step 5: Solve for x
    x = 67,884,471,906.54/334,890
  6. Step 6: Final answer
    x = 202,706.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.