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Finding the Fourth Proportional to 200,864.98, 301,315.20 and 74,506.66

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Solution

The fourth proportional to 200,864.98, 301,315.20 and 74,506.66 is: 111,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,864.98 : 301,315.20 = 74,506.66 : x
  2. Step 2: Convert to fraction form
    200,864.98/301,315.20 = 74,506.66/x
  3. Step 3: Cross multiply
    200,864.98x = 301,315.20 × 74,506.66
  4. Step 4: Simplify right side
    200,864.98x = 22,449,989,159.23
  5. Step 5: Solve for x
    x = 22,449,989,159.23/200,864.98
  6. Step 6: Final answer
    x = 111,766.57

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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.