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Finding the Fourth Proportional to 148,464, 222,138 and 104,177.16

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Solution

The fourth proportional to 148,464, 222,138 and 104,177.16 is: 155,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,464 : 222,138 = 104,177.16 : x
  2. Step 2: Convert to fraction form
    148,464/222,138 = 104,177.16/x
  3. Step 3: Cross multiply
    148,464x = 222,138 × 104,177.16
  4. Step 4: Simplify right side
    148,464x = 23,141,705,968.08
  5. Step 5: Solve for x
    x = 23,141,705,968.08/148,464
  6. Step 6: Final answer
    x = 155,874.19

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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.