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Finding the Fourth Proportional to 208,232.40, 312,256.26 and 95,885.40

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Solution

The fourth proportional to 208,232.40, 312,256.26 and 95,885.40 is: 143,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,232.40 : 312,256.26 = 95,885.40 : x
  2. Step 2: Convert to fraction form
    208,232.40/312,256.26 = 95,885.40/x
  3. Step 3: Cross multiply
    208,232.40x = 312,256.26 × 95,885.40
  4. Step 4: Simplify right side
    208,232.40x = 29,940,816,392.60
  5. Step 5: Solve for x
    x = 29,940,816,392.60/208,232.40
  6. Step 6: Final answer
    x = 143,785.58

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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.