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Finding the Fourth Proportional to 144,469.86, 216,411.03 and 117,910.50

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Solution

The fourth proportional to 144,469.86, 216,411.03 and 117,910.50 is: 176,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,469.86 : 216,411.03 = 117,910.50 : x
  2. Step 2: Convert to fraction form
    144,469.86/216,411.03 = 117,910.50/x
  3. Step 3: Cross multiply
    144,469.86x = 216,411.03 × 117,910.50
  4. Step 4: Simplify right side
    144,469.86x = 25,517,132,752.82
  5. Step 5: Solve for x
    x = 25,517,132,752.82/144,469.86
  6. Step 6: Final answer
    x = 176,625.99

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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.