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Finding the Fourth Proportional to 99,415.22, 137,188.88 and 54,093.38

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Solution

The fourth proportional to 99,415.22, 137,188.88 and 54,093.38 is: 74,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,415.22 : 137,188.88 = 54,093.38 : x
  2. Step 2: Convert to fraction form
    99,415.22/137,188.88 = 54,093.38/x
  3. Step 3: Cross multiply
    99,415.22x = 137,188.88 × 54,093.38
  4. Step 4: Simplify right side
    99,415.22x = 7,421,010,217.61
  5. Step 5: Solve for x
    x = 7,421,010,217.61/99,415.22
  6. Step 6: Final answer
    x = 74,646.62

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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.