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Finding the Fourth Proportional to 121,110.98, 181,672.74 and 36,864.50

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Solution

The fourth proportional to 121,110.98, 181,672.74 and 36,864.50 is: 55,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,110.98 : 181,672.74 = 36,864.50 : x
  2. Step 2: Convert to fraction form
    121,110.98/181,672.74 = 36,864.50/x
  3. Step 3: Cross multiply
    121,110.98x = 181,672.74 × 36,864.50
  4. Step 4: Simplify right side
    121,110.98x = 6,697,274,723.73
  5. Step 5: Solve for x
    x = 6,697,274,723.73/121,110.98
  6. Step 6: Final answer
    x = 55,298.66

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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.