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Finding the Fourth Proportional to 119,698.64, 165,180.96 and 65,983.88

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Solution

The fourth proportional to 119,698.64, 165,180.96 and 65,983.88 is: 91,056.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,698.64 : 165,180.96 = 65,983.88 : x
  2. Step 2: Convert to fraction form
    119,698.64/165,180.96 = 65,983.88/x
  3. Step 3: Cross multiply
    119,698.64x = 165,180.96 × 65,983.88
  4. Step 4: Simplify right side
    119,698.64x = 10,899,280,642.92
  5. Step 5: Solve for x
    x = 10,899,280,642.92/119,698.64
  6. Step 6: Final answer
    x = 91,056.01

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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.