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Finding the Fourth Proportional to 144,493.68, 216,695.60 and 50,977.52

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Solution

The fourth proportional to 144,493.68, 216,695.60 and 50,977.52 is: 76,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,493.68 : 216,695.60 = 50,977.52 : x
  2. Step 2: Convert to fraction form
    144,493.68/216,695.60 = 50,977.52/x
  3. Step 3: Cross multiply
    144,493.68x = 216,695.60 × 50,977.52
  4. Step 4: Simplify right side
    144,493.68x = 11,046,604,282.91
  5. Step 5: Solve for x
    x = 11,046,604,282.91/144,493.68
  6. Step 6: Final answer
    x = 76,450.43

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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.