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Finding the Fourth Proportional to 181,646.78, 250,707.24 and 120,284.78

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Solution

The fourth proportional to 181,646.78, 250,707.24 and 120,284.78 is: 166,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,646.78 : 250,707.24 = 120,284.78 : x
  2. Step 2: Convert to fraction form
    181,646.78/250,707.24 = 120,284.78/x
  3. Step 3: Cross multiply
    181,646.78x = 250,707.24 × 120,284.78
  4. Step 4: Simplify right side
    181,646.78x = 30,156,264,606.38
  5. Step 5: Solve for x
    x = 30,156,264,606.38/181,646.78
  6. Step 6: Final answer
    x = 166,015.96

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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.