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Finding the Fourth Proportional to 268,581.40, 403,058.40 and 202,161.40

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Solution

The fourth proportional to 268,581.40, 403,058.40 and 202,161.40 is: 303,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,581.40 : 403,058.40 = 202,161.40 : x
  2. Step 2: Convert to fraction form
    268,581.40/403,058.40 = 202,161.40/x
  3. Step 3: Cross multiply
    268,581.40x = 403,058.40 × 202,161.40
  4. Step 4: Simplify right side
    268,581.40x = 81,482,850,425.76
  5. Step 5: Solve for x
    x = 81,482,850,425.76/268,581.40
  6. Step 6: Final answer
    x = 303,382.33

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Why These Related Problems?

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