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Finding the Fourth Proportional to 119,364.96, 164,727.68 and 65,652

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Solution

The fourth proportional to 119,364.96, 164,727.68 and 65,652 is: 90,601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,364.96 : 164,727.68 = 65,652 : x
  2. Step 2: Convert to fraction form
    119,364.96/164,727.68 = 65,652/x
  3. Step 3: Cross multiply
    119,364.96x = 164,727.68 × 65,652
  4. Step 4: Simplify right side
    119,364.96x = 10,814,701,647.36
  5. Step 5: Solve for x
    x = 10,814,701,647.36/119,364.96
  6. Step 6: Final answer
    x = 90,601.98

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Why These Related Problems?

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