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Finding the Fourth Proportional to 209,511.96, 314,132.72 and 89,647.14

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Solution

The fourth proportional to 209,511.96, 314,132.72 and 89,647.14 is: 134,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,511.96 : 314,132.72 = 89,647.14 : x
  2. Step 2: Convert to fraction form
    209,511.96/314,132.72 = 89,647.14/x
  3. Step 3: Cross multiply
    209,511.96x = 314,132.72 × 89,647.14
  4. Step 4: Simplify right side
    209,511.96x = 28,161,099,928.42
  5. Step 5: Solve for x
    x = 28,161,099,928.42/209,511.96
  6. Step 6: Final answer
    x = 134,412.85

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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.