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Finding the Fourth Proportional to 133,061.82, 199,534.41 and 49,897.50

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Solution

The fourth proportional to 133,061.82, 199,534.41 and 49,897.50 is: 74,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,061.82 : 199,534.41 = 49,897.50 : x
  2. Step 2: Convert to fraction form
    133,061.82/199,534.41 = 49,897.50/x
  3. Step 3: Cross multiply
    133,061.82x = 199,534.41 × 49,897.50
  4. Step 4: Simplify right side
    133,061.82x = 9,956,268,222.98
  5. Step 5: Solve for x
    x = 9,956,268,222.98/133,061.82
  6. Step 6: Final answer
    x = 74,824.38

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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.