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Finding the Fourth Proportional to 177,854.92, 266,782.83 and 72,673.88

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Solution

The fourth proportional to 177,854.92, 266,782.83 and 72,673.88 is: 109,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,854.92 : 266,782.83 = 72,673.88 : x
  2. Step 2: Convert to fraction form
    177,854.92/266,782.83 = 72,673.88/x
  3. Step 3: Cross multiply
    177,854.92x = 266,782.83 × 72,673.88
  4. Step 4: Simplify right side
    177,854.92x = 19,388,144,040.44
  5. Step 5: Solve for x
    x = 19,388,144,040.44/177,854.92
  6. Step 6: Final answer
    x = 109,011.01

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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.