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Finding the Fourth Proportional to 200,823.77, 301,025.48 and 67,658.02

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Solution

The fourth proportional to 200,823.77, 301,025.48 and 67,658.02 is: 101,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,823.77 : 301,025.48 = 67,658.02 : x
  2. Step 2: Convert to fraction form
    200,823.77/301,025.48 = 67,658.02/x
  3. Step 3: Cross multiply
    200,823.77x = 301,025.48 × 67,658.02
  4. Step 4: Simplify right side
    200,823.77x = 20,366,786,855.50
  5. Step 5: Solve for x
    x = 20,366,786,855.50/200,823.77
  6. Step 6: Final answer
    x = 101,416.21

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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.