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Finding the Fourth Proportional to 119,076.66, 164,327.67 and 65,366.64

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Solution

The fourth proportional to 119,076.66, 164,327.67 and 65,366.64 is: 90,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,076.66 : 164,327.67 = 65,366.64 : x
  2. Step 2: Convert to fraction form
    119,076.66/164,327.67 = 65,366.64/x
  3. Step 3: Cross multiply
    119,076.66x = 164,327.67 × 65,366.64
  4. Step 4: Simplify right side
    119,076.66x = 10,741,547,646.93
  5. Step 5: Solve for x
    x = 10,741,547,646.93/119,076.66
  6. Step 6: Final answer
    x = 90,206.99

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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.