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Finding the Fourth Proportional to 231,435.68, 347,199.96 and 98,314.88

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Solution

The fourth proportional to 231,435.68, 347,199.96 and 98,314.88 is: 147,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,435.68 : 347,199.96 = 98,314.88 : x
  2. Step 2: Convert to fraction form
    231,435.68/347,199.96 = 98,314.88/x
  3. Step 3: Cross multiply
    231,435.68x = 347,199.96 × 98,314.88
  4. Step 4: Simplify right side
    231,435.68x = 34,134,922,403.40
  5. Step 5: Solve for x
    x = 34,134,922,403.40/231,435.68
  6. Step 6: Final answer
    x = 147,492.05

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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.