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Finding the Fourth Proportional to 158,832, 238,253.76 and 48,024

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Solution

The fourth proportional to 158,832, 238,253.76 and 48,024 is: 72,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,832 : 238,253.76 = 48,024 : x
  2. Step 2: Convert to fraction form
    158,832/238,253.76 = 48,024/x
  3. Step 3: Cross multiply
    158,832x = 238,253.76 × 48,024
  4. Step 4: Simplify right side
    158,832x = 11,441,898,570.24
  5. Step 5: Solve for x
    x = 11,441,898,570.24/158,832
  6. Step 6: Final answer
    x = 72,037.74

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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.