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Finding the Fourth Proportional to 202,538.52, 279,494.70 and 116,491.02

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Solution

The fourth proportional to 202,538.52, 279,494.70 and 116,491.02 is: 160,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,538.52 : 279,494.70 = 116,491.02 : x
  2. Step 2: Convert to fraction form
    202,538.52/279,494.70 = 116,491.02/x
  3. Step 3: Cross multiply
    202,538.52x = 279,494.70 × 116,491.02
  4. Step 4: Simplify right side
    202,538.52x = 32,558,622,687.59
  5. Step 5: Solve for x
    x = 32,558,622,687.59/202,538.52
  6. Step 6: Final answer
    x = 160,752.74

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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.