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Finding the Fourth Proportional to 314,183.90, 471,204.84 and 89,539.50

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Solution

The fourth proportional to 314,183.90, 471,204.84 and 89,539.50 is: 134,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,183.90 : 471,204.84 = 89,539.50 : x
  2. Step 2: Convert to fraction form
    314,183.90/471,204.84 = 89,539.50/x
  3. Step 3: Cross multiply
    314,183.90x = 471,204.84 × 89,539.50
  4. Step 4: Simplify right side
    314,183.90x = 42,191,445,771.18
  5. Step 5: Solve for x
    x = 42,191,445,771.18/314,183.90
  6. Step 6: Final answer
    x = 134,289.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.