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Finding the Fourth Proportional to 146,894.96, 202,698.56 and 83,219.12

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Solution

The fourth proportional to 146,894.96, 202,698.56 and 83,219.12 is: 114,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,894.96 : 202,698.56 = 83,219.12 : x
  2. Step 2: Convert to fraction form
    146,894.96/202,698.56 = 83,219.12/x
  3. Step 3: Cross multiply
    146,894.96x = 202,698.56 × 83,219.12
  4. Step 4: Simplify right side
    146,894.96x = 16,868,395,788.47
  5. Step 5: Solve for x
    x = 16,868,395,788.47/146,894.96
  6. Step 6: Final answer
    x = 114,833.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.