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Finding the Fourth Proportional to 193,812.94, 290,842.53 and 100,318.69

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Solution

The fourth proportional to 193,812.94, 290,842.53 and 100,318.69 is: 150,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,812.94 : 290,842.53 = 100,318.69 : x
  2. Step 2: Convert to fraction form
    193,812.94/290,842.53 = 100,318.69/x
  3. Step 3: Cross multiply
    193,812.94x = 290,842.53 × 100,318.69
  4. Step 4: Simplify right side
    193,812.94x = 29,176,941,605.89
  5. Step 5: Solve for x
    x = 29,176,941,605.89/193,812.94
  6. Step 6: Final answer
    x = 150,541.76

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Why These Related Problems?

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