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Finding the Fourth Proportional to 133,212.09, 199,812.65 and 74,010

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Solution

The fourth proportional to 133,212.09, 199,812.65 and 74,010 is: 111,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,212.09 : 199,812.65 = 74,010 : x
  2. Step 2: Convert to fraction form
    133,212.09/199,812.65 = 74,010/x
  3. Step 3: Cross multiply
    133,212.09x = 199,812.65 × 74,010
  4. Step 4: Simplify right side
    133,212.09x = 14,788,133,856.45
  5. Step 5: Solve for x
    x = 14,788,133,856.45/133,212.09
  6. Step 6: Final answer
    x = 111,011.95

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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.