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Finding the Fourth Proportional to 231,878.10, 347,614.65 and 89,820.30

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Solution

The fourth proportional to 231,878.10, 347,614.65 and 89,820.30 is: 134,652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,878.10 : 347,614.65 = 89,820.30 : x
  2. Step 2: Convert to fraction form
    231,878.10/347,614.65 = 89,820.30/x
  3. Step 3: Cross multiply
    231,878.10x = 347,614.65 × 89,820.30
  4. Step 4: Simplify right side
    231,878.10x = 31,222,852,147.40
  5. Step 5: Solve for x
    x = 31,222,852,147.40/231,878.10
  6. Step 6: Final answer
    x = 134,652.01

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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.