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Finding the Fourth Proportional to 150,836.34, 208,142.01 and 87,178.26

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Solution

The fourth proportional to 150,836.34, 208,142.01 and 87,178.26 is: 120,298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,836.34 : 208,142.01 = 87,178.26 : x
  2. Step 2: Convert to fraction form
    150,836.34/208,142.01 = 87,178.26/x
  3. Step 3: Cross multiply
    150,836.34x = 208,142.01 × 87,178.26
  4. Step 4: Simplify right side
    150,836.34x = 18,145,458,264.70
  5. Step 5: Solve for x
    x = 18,145,458,264.70/150,836.34
  6. Step 6: Final answer
    x = 120,298.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.