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Finding the Fourth Proportional to 159,492.85, 239,231.32 and 59,645.71

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Solution

The fourth proportional to 159,492.85, 239,231.32 and 59,645.71 is: 89,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,492.85 : 239,231.32 = 59,645.71 : x
  2. Step 2: Convert to fraction form
    159,492.85/239,231.32 = 59,645.71/x
  3. Step 3: Cross multiply
    159,492.85x = 239,231.32 × 59,645.71
  4. Step 4: Simplify right side
    159,492.85x = 14,269,120,441.25
  5. Step 5: Solve for x
    x = 14,269,120,441.25/159,492.85
  6. Step 6: Final answer
    x = 89,465.58

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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.