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Finding the Fourth Proportional to 209,851.56, 314,724.42 and 60,092.82

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Solution

The fourth proportional to 209,851.56, 314,724.42 and 60,092.82 is: 90,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,851.56 : 314,724.42 = 60,092.82 : x
  2. Step 2: Convert to fraction form
    209,851.56/314,724.42 = 60,092.82/x
  3. Step 3: Cross multiply
    209,851.56x = 314,724.42 × 60,092.82
  4. Step 4: Simplify right side
    209,851.56x = 18,912,677,920.66
  5. Step 5: Solve for x
    x = 18,912,677,920.66/209,851.56
  6. Step 6: Final answer
    x = 90,124.08

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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.