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Finding the Fourth Proportional to 200,497.86, 298,977.53 and 198,698.04

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Solution

The fourth proportional to 200,497.86, 298,977.53 and 198,698.04 is: 296,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,497.86 : 298,977.53 = 198,698.04 : x
  2. Step 2: Convert to fraction form
    200,497.86/298,977.53 = 198,698.04/x
  3. Step 3: Cross multiply
    200,497.86x = 298,977.53 × 198,698.04
  4. Step 4: Simplify right side
    200,497.86x = 59,406,248,221.55
  5. Step 5: Solve for x
    x = 59,406,248,221.55/200,497.86
  6. Step 6: Final answer
    x = 296,293.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.