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Finding the Fourth Proportional to 132,843.42, 199,289.70 and 38,069.64

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Solution

The fourth proportional to 132,843.42, 199,289.70 and 38,069.64 is: 57,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,843.42 : 199,289.70 = 38,069.64 : x
  2. Step 2: Convert to fraction form
    132,843.42/199,289.70 = 38,069.64/x
  3. Step 3: Cross multiply
    132,843.42x = 199,289.70 × 38,069.64
  4. Step 4: Simplify right side
    132,843.42x = 7,586,887,134.71
  5. Step 5: Solve for x
    x = 7,586,887,134.71/132,843.42
  6. Step 6: Final answer
    x = 57,111.50

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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.