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Finding the Fourth Proportional to 106,383.96, 159,266.82 and 61,875

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Solution

The fourth proportional to 106,383.96, 159,266.82 and 61,875 is: 92,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,383.96 : 159,266.82 = 61,875 : x
  2. Step 2: Convert to fraction form
    106,383.96/159,266.82 = 61,875/x
  3. Step 3: Cross multiply
    106,383.96x = 159,266.82 × 61,875
  4. Step 4: Simplify right side
    106,383.96x = 9,854,634,487.50
  5. Step 5: Solve for x
    x = 9,854,634,487.50/106,383.96
  6. Step 6: Final answer
    x = 92,632.71

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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.