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Finding the Fourth Proportional to 119,073.53, 164,323.34 and 65,363.45

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Solution

The fourth proportional to 119,073.53, 164,323.34 and 65,363.45 is: 90,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,073.53 : 164,323.34 = 65,363.45 : x
  2. Step 2: Convert to fraction form
    119,073.53/164,323.34 = 65,363.45/x
  3. Step 3: Cross multiply
    119,073.53x = 164,323.34 × 65,363.45
  4. Step 4: Simplify right side
    119,073.53x = 10,740,739,269.49
  5. Step 5: Solve for x
    x = 10,740,739,269.49/119,073.53
  6. Step 6: Final answer
    x = 90,202.58

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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.