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Finding the Fourth Proportional to 165,308.80, 247,963.20 and 109,904.80

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Solution

The fourth proportional to 165,308.80, 247,963.20 and 109,904.80 is: 164,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,308.80 : 247,963.20 = 109,904.80 : x
  2. Step 2: Convert to fraction form
    165,308.80/247,963.20 = 109,904.80/x
  3. Step 3: Cross multiply
    165,308.80x = 247,963.20 × 109,904.80
  4. Step 4: Simplify right side
    165,308.80x = 27,252,345,903.36
  5. Step 5: Solve for x
    x = 27,252,345,903.36/165,308.80
  6. Step 6: Final answer
    x = 164,857.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.