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Finding the Fourth Proportional to 144,651.24, 216,823.77 and 65,820.83

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Solution

The fourth proportional to 144,651.24, 216,823.77 and 65,820.83 is: 98,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,651.24 : 216,823.77 = 65,820.83 : x
  2. Step 2: Convert to fraction form
    144,651.24/216,823.77 = 65,820.83/x
  3. Step 3: Cross multiply
    144,651.24x = 216,823.77 × 65,820.83
  4. Step 4: Simplify right side
    144,651.24x = 14,271,520,505.13
  5. Step 5: Solve for x
    x = 14,271,520,505.13/144,651.24
  6. Step 6: Final answer
    x = 98,661.58

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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.