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Finding the Fourth Proportional to 209,552.89, 314,340.95 and 59,781.66

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Solution

The fourth proportional to 209,552.89, 314,340.95 and 59,781.66 is: 89,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,552.89 : 314,340.95 = 59,781.66 : x
  2. Step 2: Convert to fraction form
    209,552.89/314,340.95 = 59,781.66/x
  3. Step 3: Cross multiply
    209,552.89x = 314,340.95 × 59,781.66
  4. Step 4: Simplify right side
    209,552.89x = 18,791,823,498.07
  5. Step 5: Solve for x
    x = 18,791,823,498.07/209,552.89
  6. Step 6: Final answer
    x = 89,675.80

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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.