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Finding the Fourth Proportional to 165,727.60, 248,591.40 and 72,415.60

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Solution

The fourth proportional to 165,727.60, 248,591.40 and 72,415.60 is: 108,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,727.60 : 248,591.40 = 72,415.60 : x
  2. Step 2: Convert to fraction form
    165,727.60/248,591.40 = 72,415.60/x
  3. Step 3: Cross multiply
    165,727.60x = 248,591.40 × 72,415.60
  4. Step 4: Simplify right side
    165,727.60x = 18,001,895,385.84
  5. Step 5: Solve for x
    x = 18,001,895,385.84/165,727.60
  6. Step 6: Final answer
    x = 108,623.40

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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.