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Finding the Fourth Proportional to 209,625.84, 314,450.24 and 59,854.41

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Solution

The fourth proportional to 209,625.84, 314,450.24 and 59,854.41 is: 89,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,625.84 : 314,450.24 = 59,854.41 : x
  2. Step 2: Convert to fraction form
    209,625.84/314,450.24 = 59,854.41/x
  3. Step 3: Cross multiply
    209,625.84x = 314,450.24 × 59,854.41
  4. Step 4: Simplify right side
    209,625.84x = 18,821,233,290.29
  5. Step 5: Solve for x
    x = 18,821,233,290.29/209,625.84
  6. Step 6: Final answer
    x = 89,784.89

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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.