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Finding the Fourth Proportional to 209,257.85, 313,839.48 and 59,494.86

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Solution

The fourth proportional to 209,257.85, 313,839.48 and 59,494.86 is: 89,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,257.85 : 313,839.48 = 59,494.86 : x
  2. Step 2: Convert to fraction form
    209,257.85/313,839.48 = 59,494.86/x
  3. Step 3: Cross multiply
    209,257.85x = 313,839.48 × 59,494.86
  4. Step 4: Simplify right side
    209,257.85x = 18,671,835,925.07
  5. Step 5: Solve for x
    x = 18,671,835,925.07/209,257.85
  6. Step 6: Final answer
    x = 89,228.85

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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.