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Finding the Fourth Proportional to 219,103.96, 328,674.77 and 76,937.02

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Solution

The fourth proportional to 219,103.96, 328,674.77 and 76,937.02 is: 115,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,103.96 : 328,674.77 = 76,937.02 : x
  2. Step 2: Convert to fraction form
    219,103.96/328,674.77 = 76,937.02/x
  3. Step 3: Cross multiply
    219,103.96x = 328,674.77 × 76,937.02
  4. Step 4: Simplify right side
    219,103.96x = 25,287,257,352.99
  5. Step 5: Solve for x
    x = 25,287,257,352.99/219,103.96
  6. Step 6: Final answer
    x = 115,412.14

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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.