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Finding the Fourth Proportional to 209,963.69, 314,797.86 and 97,524.53

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Solution

The fourth proportional to 209,963.69, 314,797.86 and 97,524.53 is: 146,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,963.69 : 314,797.86 = 97,524.53 : x
  2. Step 2: Convert to fraction form
    209,963.69/314,797.86 = 97,524.53/x
  3. Step 3: Cross multiply
    209,963.69x = 314,797.86 × 97,524.53
  4. Step 4: Simplify right side
    209,963.69x = 30,700,511,767.52
  5. Step 5: Solve for x
    x = 30,700,511,767.52/209,963.69
  6. Step 6: Final answer
    x = 146,218.20

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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.