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Finding the Fourth Proportional to 133,812, 200,795.76 and 59,940

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Solution

The fourth proportional to 133,812, 200,795.76 and 59,940 is: 89,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,812 : 200,795.76 = 59,940 : x
  2. Step 2: Convert to fraction form
    133,812/200,795.76 = 59,940/x
  3. Step 3: Cross multiply
    133,812x = 200,795.76 × 59,940
  4. Step 4: Simplify right side
    133,812x = 12,035,697,854.40
  5. Step 5: Solve for x
    x = 12,035,697,854.40/133,812
  6. Step 6: Final answer
    x = 89,944.83

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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.