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Finding the Fourth Proportional to 159,083, 238,625.94 and 48,275

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Solution

The fourth proportional to 159,083, 238,625.94 and 48,275 is: 72,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,083 : 238,625.94 = 48,275 : x
  2. Step 2: Convert to fraction form
    159,083/238,625.94 = 48,275/x
  3. Step 3: Cross multiply
    159,083x = 238,625.94 × 48,275
  4. Step 4: Simplify right side
    159,083x = 11,519,667,253.50
  5. Step 5: Solve for x
    x = 11,519,667,253.50/159,083
  6. Step 6: Final answer
    x = 72,412.94

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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.