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Finding the Fourth Proportional to 243,084.53, 364,626.77 and 65,591.53

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Solution

The fourth proportional to 243,084.53, 364,626.77 and 65,591.53 is: 98,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,084.53 : 364,626.77 = 65,591.53 : x
  2. Step 2: Convert to fraction form
    243,084.53/364,626.77 = 65,591.53/x
  3. Step 3: Cross multiply
    243,084.53x = 364,626.77 × 65,591.53
  4. Step 4: Simplify right side
    243,084.53x = 23,916,427,559.28
  5. Step 5: Solve for x
    x = 23,916,427,559.28/243,084.53
  6. Step 6: Final answer
    x = 98,387.29

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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.