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Finding the Fourth Proportional to 200,814.96, 301,222.47 and 67,684.10

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Solution

The fourth proportional to 200,814.96, 301,222.47 and 67,684.10 is: 101,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,814.96 : 301,222.47 = 67,684.10 : x
  2. Step 2: Convert to fraction form
    200,814.96/301,222.47 = 67,684.10/x
  3. Step 3: Cross multiply
    200,814.96x = 301,222.47 × 67,684.10
  4. Step 4: Simplify right side
    200,814.96x = 20,387,971,781.73
  5. Step 5: Solve for x
    x = 20,387,971,781.73/200,814.96
  6. Step 6: Final answer
    x = 101,526.16

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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.