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Finding the Fourth Proportional to 180,011.96, 269,722.08 and 61,618.71

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Solution

The fourth proportional to 180,011.96, 269,722.08 and 61,618.71 is: 92,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,011.96 : 269,722.08 = 61,618.71 : x
  2. Step 2: Convert to fraction form
    180,011.96/269,722.08 = 61,618.71/x
  3. Step 3: Cross multiply
    180,011.96x = 269,722.08 × 61,618.71
  4. Step 4: Simplify right side
    180,011.96x = 16,619,927,456.47
  5. Step 5: Solve for x
    x = 16,619,927,456.47/180,011.96
  6. Step 6: Final answer
    x = 92,326.80

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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.