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Finding the Fourth Proportional to 119,097.37, 164,351.33 and 65,381.92

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Solution

The fourth proportional to 119,097.37, 164,351.33 and 65,381.92 is: 90,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,097.37 : 164,351.33 = 65,381.92 : x
  2. Step 2: Convert to fraction form
    119,097.37/164,351.33 = 65,381.92/x
  3. Step 3: Cross multiply
    119,097.37x = 164,351.33 × 65,381.92
  4. Step 4: Simplify right side
    119,097.37x = 10,745,605,017.35
  5. Step 5: Solve for x
    x = 10,745,605,017.35/119,097.37
  6. Step 6: Final answer
    x = 90,225.38

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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.