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Finding the Fourth Proportional to 219,296.95, 328,909.37 and 77,108.81

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Solution

The fourth proportional to 219,296.95, 328,909.37 and 77,108.81 is: 115,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,296.95 : 328,909.37 = 77,108.81 : x
  2. Step 2: Convert to fraction form
    219,296.95/328,909.37 = 77,108.81/x
  3. Step 3: Cross multiply
    219,296.95x = 328,909.37 × 77,108.81
  4. Step 4: Simplify right side
    219,296.95x = 25,361,810,118.55
  5. Step 5: Solve for x
    x = 25,361,810,118.55/219,296.95
  6. Step 6: Final answer
    x = 115,650.54

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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.