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Finding the Fourth Proportional to 146,196.90, 218,809.35 and 106,101.90

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Solution

The fourth proportional to 146,196.90, 218,809.35 and 106,101.90 is: 158,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,196.90 : 218,809.35 = 106,101.90 : x
  2. Step 2: Convert to fraction form
    146,196.90/218,809.35 = 106,101.90/x
  3. Step 3: Cross multiply
    146,196.90x = 218,809.35 × 106,101.90
  4. Step 4: Simplify right side
    146,196.90x = 23,216,087,772.77
  5. Step 5: Solve for x
    x = 23,216,087,772.77/146,196.90
  6. Step 6: Final answer
    x = 158,800.14

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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.