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Finding the Fourth Proportional to 119,052.53, 164,292.00 and 65,338.45

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Solution

The fourth proportional to 119,052.53, 164,292.00 and 65,338.45 is: 90,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,052.53 : 164,292.00 = 65,338.45 : x
  2. Step 2: Convert to fraction form
    119,052.53/164,292.00 = 65,338.45/x
  3. Step 3: Cross multiply
    119,052.53x = 164,292.00 × 65,338.45
  4. Step 4: Simplify right side
    119,052.53x = 10,734,583,971.65
  5. Step 5: Solve for x
    x = 10,734,583,971.65/119,052.53
  6. Step 6: Final answer
    x = 90,166.78

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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.