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Finding the Fourth Proportional to 146,282.40, 218,937.60 and 106,187.40

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Solution

The fourth proportional to 146,282.40, 218,937.60 and 106,187.40 is: 158,928.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,282.40 : 218,937.60 = 106,187.40 : x
  2. Step 2: Convert to fraction form
    146,282.40/218,937.60 = 106,187.40/x
  3. Step 3: Cross multiply
    146,282.40x = 218,937.60 × 106,187.40
  4. Step 4: Simplify right side
    146,282.40x = 23,248,414,506.24
  5. Step 5: Solve for x
    x = 23,248,414,506.24/146,282.40
  6. Step 6: Final answer
    x = 158,928.31

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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.