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Finding the Fourth Proportional to 135,652.84, 203,478.62 and 42,158.44

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Solution

The fourth proportional to 135,652.84, 203,478.62 and 42,158.44 is: 63,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,652.84 : 203,478.62 = 42,158.44 : x
  2. Step 2: Convert to fraction form
    135,652.84/203,478.62 = 42,158.44/x
  3. Step 3: Cross multiply
    135,652.84x = 203,478.62 × 42,158.44
  4. Step 4: Simplify right side
    135,652.84x = 8,578,341,192.55
  5. Step 5: Solve for x
    x = 8,578,341,192.55/135,652.84
  6. Step 6: Final answer
    x = 63,237.46

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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.