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Finding the Fourth Proportional to 102,934.02, 140,751.87 and 102,934.02

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Solution

The fourth proportional to 102,934.02, 140,751.87 and 102,934.02 is: 140,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,934.02 : 140,751.87 = 102,934.02 : x
  2. Step 2: Convert to fraction form
    102,934.02/140,751.87 = 102,934.02/x
  3. Step 3: Cross multiply
    102,934.02x = 140,751.87 × 102,934.02
  4. Step 4: Simplify right side
    102,934.02x = 14,488,155,801.62
  5. Step 5: Solve for x
    x = 14,488,155,801.62/102,934.02
  6. Step 6: Final answer
    x = 140,751.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.