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Finding the Fourth Proportional to 209,648.74, 314,522.28 and 59,891.16

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Solution

The fourth proportional to 209,648.74, 314,522.28 and 59,891.16 is: 89,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,648.74 : 314,522.28 = 59,891.16 : x
  2. Step 2: Convert to fraction form
    209,648.74/314,522.28 = 59,891.16/x
  3. Step 3: Cross multiply
    209,648.74x = 314,522.28 × 59,891.16
  4. Step 4: Simplify right side
    209,648.74x = 18,837,104,195.04
  5. Step 5: Solve for x
    x = 18,837,104,195.04/209,648.74
  6. Step 6: Final answer
    x = 89,850.79

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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.