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Finding the Fourth Proportional to 119,073.16, 164,322.84 and 65,363.14

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Solution

The fourth proportional to 119,073.16, 164,322.84 and 65,363.14 is: 90,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,073.16 : 164,322.84 = 65,363.14 : x
  2. Step 2: Convert to fraction form
    119,073.16/164,322.84 = 65,363.14/x
  3. Step 3: Cross multiply
    119,073.16x = 164,322.84 × 65,363.14
  4. Step 4: Simplify right side
    119,073.16x = 10,740,656,796.12
  5. Step 5: Solve for x
    x = 10,740,656,796.12/119,073.16
  6. Step 6: Final answer
    x = 90,202.16

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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.