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Finding the Fourth Proportional to 177,864.40, 266,772.30 and 53,205.40

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Solution

The fourth proportional to 177,864.40, 266,772.30 and 53,205.40 is: 79,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,864.40 : 266,772.30 = 53,205.40 : x
  2. Step 2: Convert to fraction form
    177,864.40/266,772.30 = 53,205.40/x
  3. Step 3: Cross multiply
    177,864.40x = 266,772.30 × 53,205.40
  4. Step 4: Simplify right side
    177,864.40x = 14,193,726,930.42
  5. Step 5: Solve for x
    x = 14,193,726,930.42/177,864.40
  6. Step 6: Final answer
    x = 79,800.83

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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.