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Finding the Fourth Proportional to 181,054.36, 271,581.54 and 96,558.53

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Solution

The fourth proportional to 181,054.36, 271,581.54 and 96,558.53 is: 144,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,054.36 : 271,581.54 = 96,558.53 : x
  2. Step 2: Convert to fraction form
    181,054.36/271,581.54 = 96,558.53/x
  3. Step 3: Cross multiply
    181,054.36x = 271,581.54 × 96,558.53
  4. Step 4: Simplify right side
    181,054.36x = 26,223,514,277.54
  5. Step 5: Solve for x
    x = 26,223,514,277.54/181,054.36
  6. Step 6: Final answer
    x = 144,837.80

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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.