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Finding the Fourth Proportional to 145,375.74, 200,589.11 and 84,934.71

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Solution

The fourth proportional to 145,375.74, 200,589.11 and 84,934.71 is: 117,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,375.74 : 200,589.11 = 84,934.71 : x
  2. Step 2: Convert to fraction form
    145,375.74/200,589.11 = 84,934.71/x
  3. Step 3: Cross multiply
    145,375.74x = 200,589.11 × 84,934.71
  4. Step 4: Simplify right side
    145,375.74x = 17,036,977,462.33
  5. Step 5: Solve for x
    x = 17,036,977,462.33/145,375.74
  6. Step 6: Final answer
    x = 117,192.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.