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Finding the Fourth Proportional to 218,058.84, 327,088.01 and 68,310.80

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Solution

The fourth proportional to 218,058.84, 327,088.01 and 68,310.80 is: 102,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,058.84 : 327,088.01 = 68,310.80 : x
  2. Step 2: Convert to fraction form
    218,058.84/327,088.01 = 68,310.80/x
  3. Step 3: Cross multiply
    218,058.84x = 327,088.01 × 68,310.80
  4. Step 4: Simplify right side
    218,058.84x = 22,343,641,656.51
  5. Step 5: Solve for x
    x = 22,343,641,656.51/218,058.84
  6. Step 6: Final answer
    x = 102,466.11

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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.