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Finding the Fourth Proportional to 284,856.46, 427,494.60 and 135,097.18

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Solution

The fourth proportional to 284,856.46, 427,494.60 and 135,097.18 is: 202,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,856.46 : 427,494.60 = 135,097.18 : x
  2. Step 2: Convert to fraction form
    284,856.46/427,494.60 = 135,097.18/x
  3. Step 3: Cross multiply
    284,856.46x = 427,494.60 × 135,097.18
  4. Step 4: Simplify right side
    284,856.46x = 57,753,314,925.23
  5. Step 5: Solve for x
    x = 57,753,314,925.23/284,856.46
  6. Step 6: Final answer
    x = 202,745.32

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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.