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Finding the Fourth Proportional to 153,414.41, 230,158.36 and 48,233.37

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Solution

The fourth proportional to 153,414.41, 230,158.36 and 48,233.37 is: 72,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,414.41 : 230,158.36 = 48,233.37 : x
  2. Step 2: Convert to fraction form
    153,414.41/230,158.36 = 48,233.37/x
  3. Step 3: Cross multiply
    153,414.41x = 230,158.36 × 48,233.37
  4. Step 4: Simplify right side
    153,414.41x = 11,101,314,259.86
  5. Step 5: Solve for x
    x = 11,101,314,259.86/153,414.41
  6. Step 6: Final answer
    x = 72,361.62

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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.