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Finding the Fourth Proportional to 148,494.78, 204,724.55 and 117,969.17

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Solution

The fourth proportional to 148,494.78, 204,724.55 and 117,969.17 is: 162,639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,494.78 : 204,724.55 = 117,969.17 : x
  2. Step 2: Convert to fraction form
    148,494.78/204,724.55 = 117,969.17/x
  3. Step 3: Cross multiply
    148,494.78x = 204,724.55 × 117,969.17
  4. Step 4: Simplify right side
    148,494.78x = 24,151,184,513.42
  5. Step 5: Solve for x
    x = 24,151,184,513.42/148,494.78
  6. Step 6: Final answer
    x = 162,639.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.