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Finding the Fourth Proportional to 146,482.90, 202,145.43 and 82,820.95

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Solution

The fourth proportional to 146,482.90, 202,145.43 and 82,820.95 is: 114,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,482.90 : 202,145.43 = 82,820.95 : x
  2. Step 2: Convert to fraction form
    146,482.90/202,145.43 = 82,820.95/x
  3. Step 3: Cross multiply
    146,482.90x = 202,145.43 × 82,820.95
  4. Step 4: Simplify right side
    146,482.90x = 16,741,876,550.76
  5. Step 5: Solve for x
    x = 16,741,876,550.76/146,482.90
  6. Step 6: Final answer
    x = 114,292.36

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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.