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Finding the Fourth Proportional to 148,958.60, 205,540.07 and 84,424.14

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Solution

The fourth proportional to 148,958.60, 205,540.07 and 84,424.14 is: 116,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,958.60 : 205,540.07 = 84,424.14 : x
  2. Step 2: Convert to fraction form
    148,958.60/205,540.07 = 84,424.14/x
  3. Step 3: Cross multiply
    148,958.60x = 205,540.07 × 84,424.14
  4. Step 4: Simplify right side
    148,958.60x = 17,352,543,223.17
  5. Step 5: Solve for x
    x = 17,352,543,223.17/148,958.60
  6. Step 6: Final answer
    x = 116,492.39

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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.