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Finding the Fourth Proportional to 345,170.10, 517,543.74 and 134,562

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Solution

The fourth proportional to 345,170.10, 517,543.74 and 134,562 is: 201,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,170.10 : 517,543.74 = 134,562 : x
  2. Step 2: Convert to fraction form
    345,170.10/517,543.74 = 134,562/x
  3. Step 3: Cross multiply
    345,170.10x = 517,543.74 × 134,562
  4. Step 4: Simplify right side
    345,170.10x = 69,641,720,741.88
  5. Step 5: Solve for x
    x = 69,641,720,741.88/345,170.10
  6. Step 6: Final answer
    x = 201,760.58

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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.