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Finding the Fourth Proportional to 133,070.82, 199,547.91 and 49,906.50

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Solution

The fourth proportional to 133,070.82, 199,547.91 and 49,906.50 is: 74,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070.82 : 199,547.91 = 49,906.50 : x
  2. Step 2: Convert to fraction form
    133,070.82/199,547.91 = 49,906.50/x
  3. Step 3: Cross multiply
    133,070.82x = 199,547.91 × 49,906.50
  4. Step 4: Simplify right side
    133,070.82x = 9,958,737,770.42
  5. Step 5: Solve for x
    x = 9,958,737,770.42/133,070.82
  6. Step 6: Final answer
    x = 74,837.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.