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Finding the Fourth Proportional to 110,667.96, 152,337.87 and 83,763

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Solution

The fourth proportional to 110,667.96, 152,337.87 and 83,763 is: 115,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,667.96 : 152,337.87 = 83,763 : x
  2. Step 2: Convert to fraction form
    110,667.96/152,337.87 = 83,763/x
  3. Step 3: Cross multiply
    110,667.96x = 152,337.87 × 83,763
  4. Step 4: Simplify right side
    110,667.96x = 12,760,277,004.81
  5. Step 5: Solve for x
    x = 12,760,277,004.81/110,667.96
  6. Step 6: Final answer
    x = 115,302.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.