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Finding the Fourth Proportional to 165,585, 248,400.86 and 53,227.56

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Solution

The fourth proportional to 165,585, 248,400.86 and 53,227.56 is: 79,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,585 : 248,400.86 = 53,227.56 : x
  2. Step 2: Convert to fraction form
    165,585/248,400.86 = 53,227.56/x
  3. Step 3: Cross multiply
    165,585x = 248,400.86 × 53,227.56
  4. Step 4: Simplify right side
    165,585x = 13,221,771,679.70
  5. Step 5: Solve for x
    x = 13,221,771,679.70/165,585
  6. Step 6: Final answer
    x = 79,848.85

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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.