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Finding the Fourth Proportional to 133,357.43, 200,036.31 and 54,471.68

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Solution

The fourth proportional to 133,357.43, 200,036.31 and 54,471.68 is: 81,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,357.43 : 200,036.31 = 54,471.68 : x
  2. Step 2: Convert to fraction form
    133,357.43/200,036.31 = 54,471.68/x
  3. Step 3: Cross multiply
    133,357.43x = 200,036.31 × 54,471.68
  4. Step 4: Simplify right side
    133,357.43x = 10,896,312,866.52
  5. Step 5: Solve for x
    x = 10,896,312,866.52/133,357.43
  6. Step 6: Final answer
    x = 81,707.58

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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.