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Finding the Fourth Proportional to 314,081.58, 471,125.15 and 89,441.84

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Solution

The fourth proportional to 314,081.58, 471,125.15 and 89,441.84 is: 134,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,081.58 : 471,125.15 = 89,441.84 : x
  2. Step 2: Convert to fraction form
    314,081.58/471,125.15 = 89,441.84/x
  3. Step 3: Cross multiply
    314,081.58x = 471,125.15 × 89,441.84
  4. Step 4: Simplify right side
    314,081.58x = 42,138,297,483.44
  5. Step 5: Solve for x
    x = 42,138,297,483.44/314,081.58
  6. Step 6: Final answer
    x = 134,163.54

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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.