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Finding the Fourth Proportional to 109,687.88, 164,498.39 and 57,068.66

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Solution

The fourth proportional to 109,687.88, 164,498.39 and 57,068.66 is: 85,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,687.88 : 164,498.39 = 57,068.66 : x
  2. Step 2: Convert to fraction form
    109,687.88/164,498.39 = 57,068.66/x
  3. Step 3: Cross multiply
    109,687.88x = 164,498.39 × 57,068.66
  4. Step 4: Simplify right side
    109,687.88x = 9,387,702,009.64
  5. Step 5: Solve for x
    x = 9,387,702,009.64/109,687.88
  6. Step 6: Final answer
    x = 85,585.59

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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.