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Finding the Fourth Proportional to 177,803.20, 266,743.20 and 53,156.80

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Solution

The fourth proportional to 177,803.20, 266,743.20 and 53,156.80 is: 79,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,803.20 : 266,743.20 = 53,156.80 : x
  2. Step 2: Convert to fraction form
    177,803.20/266,743.20 = 53,156.80/x
  3. Step 3: Cross multiply
    177,803.20x = 266,743.20 × 53,156.80
  4. Step 4: Simplify right side
    177,803.20x = 14,179,214,933.76
  5. Step 5: Solve for x
    x = 14,179,214,933.76/177,803.20
  6. Step 6: Final answer
    x = 79,746.68

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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.