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Finding the Fourth Proportional to 408,107.25, 611,810.28 and 141,833.17

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Solution

The fourth proportional to 408,107.25, 611,810.28 and 141,833.17 is: 212,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,107.25 : 611,810.28 = 141,833.17 : x
  2. Step 2: Convert to fraction form
    408,107.25/611,810.28 = 141,833.17/x
  3. Step 3: Cross multiply
    408,107.25x = 611,810.28 × 141,833.17
  4. Step 4: Simplify right side
    408,107.25x = 86,774,990,741.82
  5. Step 5: Solve for x
    x = 86,774,990,741.82/408,107.25
  6. Step 6: Final answer
    x = 212,627.91

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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.