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Finding the Fourth Proportional to 159,078, 238,618.44 and 48,270

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Solution

The fourth proportional to 159,078, 238,618.44 and 48,270 is: 72,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,078 : 238,618.44 = 48,270 : x
  2. Step 2: Convert to fraction form
    159,078/238,618.44 = 48,270/x
  3. Step 3: Cross multiply
    159,078x = 238,618.44 × 48,270
  4. Step 4: Simplify right side
    159,078x = 11,518,112,098.80
  5. Step 5: Solve for x
    x = 11,518,112,098.80/159,078
  6. Step 6: Final answer
    x = 72,405.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.