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Finding the Fourth Proportional to 119,513.96, 164,923 and 65,788.48

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Solution

The fourth proportional to 119,513.96, 164,923 and 65,788.48 is: 90,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,513.96 : 164,923 = 65,788.48 : x
  2. Step 2: Convert to fraction form
    119,513.96/164,923 = 65,788.48/x
  3. Step 3: Cross multiply
    119,513.96x = 164,923 × 65,788.48
  4. Step 4: Simplify right side
    119,513.96x = 10,850,033,487.04
  5. Step 5: Solve for x
    x = 10,850,033,487.04/119,513.96
  6. Step 6: Final answer
    x = 90,784.65

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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.