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Finding the Fourth Proportional to 193,844, 290,766 and 51,689.76

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Solution

The fourth proportional to 193,844, 290,766 and 51,689.76 is: 77,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,844 : 290,766 = 51,689.76 : x
  2. Step 2: Convert to fraction form
    193,844/290,766 = 51,689.76/x
  3. Step 3: Cross multiply
    193,844x = 290,766 × 51,689.76
  4. Step 4: Simplify right side
    193,844x = 15,029,624,756.16
  5. Step 5: Solve for x
    x = 15,029,624,756.16/193,844
  6. Step 6: Final answer
    x = 77,534.64

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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.