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Finding the Fourth Proportional to 165,658.14, 248,499.80 and 64,412.70

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Solution

The fourth proportional to 165,658.14, 248,499.80 and 64,412.70 is: 96,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,658.14 : 248,499.80 = 64,412.70 : x
  2. Step 2: Convert to fraction form
    165,658.14/248,499.80 = 64,412.70/x
  3. Step 3: Cross multiply
    165,658.14x = 248,499.80 × 64,412.70
  4. Step 4: Simplify right side
    165,658.14x = 16,006,543,067.46
  5. Step 5: Solve for x
    x = 16,006,543,067.46/165,658.14
  6. Step 6: Final answer
    x = 96,623.95

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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.