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Finding the Fourth Proportional to 181,562, 250,555.56 and 102,074

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Solution

The fourth proportional to 181,562, 250,555.56 and 102,074 is: 140,862.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,562 : 250,555.56 = 102,074 : x
  2. Step 2: Convert to fraction form
    181,562/250,555.56 = 102,074/x
  3. Step 3: Cross multiply
    181,562x = 250,555.56 × 102,074
  4. Step 4: Simplify right side
    181,562x = 25,575,208,231.44
  5. Step 5: Solve for x
    x = 25,575,208,231.44/181,562
  6. Step 6: Final answer
    x = 140,862.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.