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Finding the Fourth Proportional to 200,848.86, 301,087.26 and 74,418.66

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Solution

The fourth proportional to 200,848.86, 301,087.26 and 74,418.66 is: 111,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,848.86 : 301,087.26 = 74,418.66 : x
  2. Step 2: Convert to fraction form
    200,848.86/301,087.26 = 74,418.66/x
  3. Step 3: Cross multiply
    200,848.86x = 301,087.26 × 74,418.66
  4. Step 4: Simplify right side
    200,848.86x = 22,406,510,432.27
  5. Step 5: Solve for x
    x = 22,406,510,432.27/200,848.86
  6. Step 6: Final answer
    x = 111,559.06

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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.