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Finding the Fourth Proportional to 148,133.30, 222,068.70 and 110,648.12

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Solution

The fourth proportional to 148,133.30, 222,068.70 and 110,648.12 is: 165,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,133.30 : 222,068.70 = 110,648.12 : x
  2. Step 2: Convert to fraction form
    148,133.30/222,068.70 = 110,648.12/x
  3. Step 3: Cross multiply
    148,133.30x = 222,068.70 × 110,648.12
  4. Step 4: Simplify right side
    148,133.30x = 24,571,483,055.50
  5. Step 5: Solve for x
    x = 24,571,483,055.50/148,133.30
  6. Step 6: Final answer
    x = 165,874.14

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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.