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Finding the Fourth Proportional to 119,529.18, 164,944.13 and 65,803.86

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Solution

The fourth proportional to 119,529.18, 164,944.13 and 65,803.86 is: 90,805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,529.18 : 164,944.13 = 65,803.86 : x
  2. Step 2: Convert to fraction form
    119,529.18/164,944.13 = 65,803.86/x
  3. Step 3: Cross multiply
    119,529.18x = 164,944.13 × 65,803.86
  4. Step 4: Simplify right side
    119,529.18x = 10,853,960,109.32
  5. Step 5: Solve for x
    x = 10,853,960,109.32/119,529.18
  6. Step 6: Final answer
    x = 90,805.94

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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.