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Finding the Fourth Proportional to 177,982.62, 266,974 and 53,323.62

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Solution

The fourth proportional to 177,982.62, 266,974 and 53,323.62 is: 79,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,982.62 : 266,974 = 53,323.62 : x
  2. Step 2: Convert to fraction form
    177,982.62/266,974 = 53,323.62/x
  3. Step 3: Cross multiply
    177,982.62x = 266,974 × 53,323.62
  4. Step 4: Simplify right side
    177,982.62x = 14,236,020,125.88
  5. Step 5: Solve for x
    x = 14,236,020,125.88/177,982.62
  6. Step 6: Final answer
    x = 79,985.45

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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.