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Finding the Fourth Proportional to 148,462, 222,135 and 104,175.16

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Solution

The fourth proportional to 148,462, 222,135 and 104,175.16 is: 155,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,462 : 222,135 = 104,175.16 : x
  2. Step 2: Convert to fraction form
    148,462/222,135 = 104,175.16/x
  3. Step 3: Cross multiply
    148,462x = 222,135 × 104,175.16
  4. Step 4: Simplify right side
    148,462x = 23,140,949,166.60
  5. Step 5: Solve for x
    x = 23,140,949,166.60/148,462
  6. Step 6: Final answer
    x = 155,871.19

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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.