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Finding the Fourth Proportional to 123,076, 184,631.82 and 38,807.56

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Solution

The fourth proportional to 123,076, 184,631.82 and 38,807.56 is: 58,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,076 : 184,631.82 = 38,807.56 : x
  2. Step 2: Convert to fraction form
    123,076/184,631.82 = 38,807.56/x
  3. Step 3: Cross multiply
    123,076x = 184,631.82 × 38,807.56
  4. Step 4: Simplify right side
    123,076x = 7,165,110,432.56
  5. Step 5: Solve for x
    x = 7,165,110,432.56/123,076
  6. Step 6: Final answer
    x = 58,216.96

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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.