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Finding the Fourth Proportional to 177,782.20, 266,673.30 and 53,123.20

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Solution

The fourth proportional to 177,782.20, 266,673.30 and 53,123.20 is: 79,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,782.20 : 266,673.30 = 53,123.20 : x
  2. Step 2: Convert to fraction form
    177,782.20/266,673.30 = 53,123.20/x
  3. Step 3: Cross multiply
    177,782.20x = 266,673.30 × 53,123.20
  4. Step 4: Simplify right side
    177,782.20x = 14,166,539,050.56
  5. Step 5: Solve for x
    x = 14,166,539,050.56/177,782.20
  6. Step 6: Final answer
    x = 79,684.80

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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.