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Finding the Fourth Proportional to 159,088, 238,633.44 and 48,280

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Solution

The fourth proportional to 159,088, 238,633.44 and 48,280 is: 72,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,088 : 238,633.44 = 48,280 : x
  2. Step 2: Convert to fraction form
    159,088/238,633.44 = 48,280/x
  3. Step 3: Cross multiply
    159,088x = 238,633.44 × 48,280
  4. Step 4: Simplify right side
    159,088x = 11,521,222,483.20
  5. Step 5: Solve for x
    x = 11,521,222,483.20/159,088
  6. Step 6: Final answer
    x = 72,420.44

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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.