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Finding the Fourth Proportional to 200,770.88, 301,184.10 and 67,689.19

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Solution

The fourth proportional to 200,770.88, 301,184.10 and 67,689.19 is: 101,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,770.88 : 301,184.10 = 67,689.19 : x
  2. Step 2: Convert to fraction form
    200,770.88/301,184.10 = 67,689.19/x
  3. Step 3: Cross multiply
    200,770.88x = 301,184.10 × 67,689.19
  4. Step 4: Simplify right side
    200,770.88x = 20,386,908,400.19
  5. Step 5: Solve for x
    x = 20,386,908,400.19/200,770.88
  6. Step 6: Final answer
    x = 101,543.16

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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.