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Finding the Fourth Proportional to 144,169.24, 216,300.14 and 69,294.82

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Solution

The fourth proportional to 144,169.24, 216,300.14 and 69,294.82 is: 103,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,169.24 : 216,300.14 = 69,294.82 : x
  2. Step 2: Convert to fraction form
    144,169.24/216,300.14 = 69,294.82/x
  3. Step 3: Cross multiply
    144,169.24x = 216,300.14 × 69,294.82
  4. Step 4: Simplify right side
    144,169.24x = 14,988,479,267.27
  5. Step 5: Solve for x
    x = 14,988,479,267.27/144,169.24
  6. Step 6: Final answer
    x = 103,964.47

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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.