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Finding the Fourth Proportional to 177,622, 266,564.50 and 84,128.02

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Solution

The fourth proportional to 177,622, 266,564.50 and 84,128.02 is: 126,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,622 : 266,564.50 = 84,128.02 : x
  2. Step 2: Convert to fraction form
    177,622/266,564.50 = 84,128.02/x
  3. Step 3: Cross multiply
    177,622x = 266,564.50 × 84,128.02
  4. Step 4: Simplify right side
    177,622x = 22,425,543,587.29
  5. Step 5: Solve for x
    x = 22,425,543,587.29/177,622
  6. Step 6: Final answer
    x = 126,254.31

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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.