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Finding the Fourth Proportional to 119,073.66, 164,323.53 and 65,363.64

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Solution

The fourth proportional to 119,073.66, 164,323.53 and 65,363.64 is: 90,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,073.66 : 164,323.53 = 65,363.64 : x
  2. Step 2: Convert to fraction form
    119,073.66/164,323.53 = 65,363.64/x
  3. Step 3: Cross multiply
    119,073.66x = 164,323.53 × 65,363.64
  4. Step 4: Simplify right side
    119,073.66x = 10,740,784,058.45
  5. Step 5: Solve for x
    x = 10,740,784,058.45/119,073.66
  6. Step 6: Final answer
    x = 90,202.85

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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.