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Finding the Fourth Proportional to 210,734.71, 290,813.74 and 115,241.38

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Solution

The fourth proportional to 210,734.71, 290,813.74 and 115,241.38 is: 159,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,734.71 : 290,813.74 = 115,241.38 : x
  2. Step 2: Convert to fraction form
    210,734.71/290,813.74 = 115,241.38/x
  3. Step 3: Cross multiply
    210,734.71x = 290,813.74 × 115,241.38
  4. Step 4: Simplify right side
    210,734.71x = 33,513,777,989.48
  5. Step 5: Solve for x
    x = 33,513,777,989.48/210,734.71
  6. Step 6: Final answer
    x = 159,033.02

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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.