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Finding the Fourth Proportional to 159,085, 238,628.94 and 48,277

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Solution

The fourth proportional to 159,085, 238,628.94 and 48,277 is: 72,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,085 : 238,628.94 = 48,277 : x
  2. Step 2: Convert to fraction form
    159,085/238,628.94 = 48,277/x
  3. Step 3: Cross multiply
    159,085x = 238,628.94 × 48,277
  4. Step 4: Simplify right side
    159,085x = 11,520,289,336.38
  5. Step 5: Solve for x
    x = 11,520,289,336.38/159,085
  6. Step 6: Final answer
    x = 72,415.94

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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.