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Finding the Fourth Proportional to 148,454, 222,123 and 104,167.16

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Solution

The fourth proportional to 148,454, 222,123 and 104,167.16 is: 155,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,454 : 222,123 = 104,167.16 : x
  2. Step 2: Convert to fraction form
    148,454/222,123 = 104,167.16/x
  3. Step 3: Cross multiply
    148,454x = 222,123 × 104,167.16
  4. Step 4: Simplify right side
    148,454x = 23,137,922,080.68
  5. Step 5: Solve for x
    x = 23,137,922,080.68/148,454
  6. Step 6: Final answer
    x = 155,859.20

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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.