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Finding the Fourth Proportional to 165,078.88, 227,813.52 and 97,100.80

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Solution

The fourth proportional to 165,078.88, 227,813.52 and 97,100.80 is: 134,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,078.88 : 227,813.52 = 97,100.80 : x
  2. Step 2: Convert to fraction form
    165,078.88/227,813.52 = 97,100.80/x
  3. Step 3: Cross multiply
    165,078.88x = 227,813.52 × 97,100.80
  4. Step 4: Simplify right side
    165,078.88x = 22,120,875,042.82
  5. Step 5: Solve for x
    x = 22,120,875,042.82/165,078.88
  6. Step 6: Final answer
    x = 134,001.85

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1.5x scale

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.