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Finding the Fourth Proportional to 209,752.44, 314,672.58 and 67,608.36

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Solution

The fourth proportional to 209,752.44, 314,672.58 and 67,608.36 is: 101,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,752.44 : 314,672.58 = 67,608.36 : x
  2. Step 2: Convert to fraction form
    209,752.44/314,672.58 = 67,608.36/x
  3. Step 3: Cross multiply
    209,752.44x = 314,672.58 × 67,608.36
  4. Step 4: Simplify right side
    209,752.44x = 21,274,497,070.77
  5. Step 5: Solve for x
    x = 21,274,497,070.77/209,752.44
  6. Step 6: Final answer
    x = 101,426.70

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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.