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Finding the Fourth Proportional to 209,494.57, 314,244.78 and 59,734.87

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Solution

The fourth proportional to 209,494.57, 314,244.78 and 59,734.87 is: 89,603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,494.57 : 314,244.78 = 59,734.87 : x
  2. Step 2: Convert to fraction form
    209,494.57/314,244.78 = 59,734.87/x
  3. Step 3: Cross multiply
    209,494.57x = 314,244.78 × 59,734.87
  4. Step 4: Simplify right side
    209,494.57x = 18,771,371,081.48
  5. Step 5: Solve for x
    x = 18,771,371,081.48/209,494.57
  6. Step 6: Final answer
    x = 89,603.14

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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.