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Finding the Fourth Proportional to 181,888, 251,005.44 and 102,400

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Solution

The fourth proportional to 181,888, 251,005.44 and 102,400 is: 141,312

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,888 : 251,005.44 = 102,400 : x
  2. Step 2: Convert to fraction form
    181,888/251,005.44 = 102,400/x
  3. Step 3: Cross multiply
    181,888x = 251,005.44 × 102,400
  4. Step 4: Simplify right side
    181,888x = 25,702,957,056
  5. Step 5: Solve for x
    x = 25,702,957,056/181,888
  6. Step 6: Final answer
    x = 141,312

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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.