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Finding the Fourth Proportional to 177,682.38, 266,569.73 and 53,023.38

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Solution

The fourth proportional to 177,682.38, 266,569.73 and 53,023.38 is: 79,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,682.38 : 266,569.73 = 53,023.38 : x
  2. Step 2: Convert to fraction form
    177,682.38/266,569.73 = 53,023.38/x
  3. Step 3: Cross multiply
    177,682.38x = 266,569.73 × 53,023.38
  4. Step 4: Simplify right side
    177,682.38x = 14,134,428,090.29
  5. Step 5: Solve for x
    x = 14,134,428,090.29/177,682.38
  6. Step 6: Final answer
    x = 79,548.84

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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.