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Finding the Fourth Proportional to 181,557, 250,548.66 and 102,069

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Solution

The fourth proportional to 181,557, 250,548.66 and 102,069 is: 140,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,557 : 250,548.66 = 102,069 : x
  2. Step 2: Convert to fraction form
    181,557/250,548.66 = 102,069/x
  3. Step 3: Cross multiply
    181,557x = 250,548.66 × 102,069
  4. Step 4: Simplify right side
    181,557x = 25,573,251,177.54
  5. Step 5: Solve for x
    x = 25,573,251,177.54/181,557
  6. Step 6: Final answer
    x = 140,855.22

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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.