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Finding the Fourth Proportional to 209,909.82, 314,883.64 and 67,758.47

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Solution

The fourth proportional to 209,909.82, 314,883.64 and 67,758.47 is: 101,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,909.82 : 314,883.64 = 67,758.47 : x
  2. Step 2: Convert to fraction form
    209,909.82/314,883.64 = 67,758.47/x
  3. Step 3: Cross multiply
    209,909.82x = 314,883.64 × 67,758.47
  4. Step 4: Simplify right side
    209,909.82x = 21,336,033,674.43
  5. Step 5: Solve for x
    x = 21,336,033,674.43/209,909.82
  6. Step 6: Final answer
    x = 101,643.81

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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.