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Finding the Fourth Proportional to 144,394.49, 216,628.67 and 55,624.16

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Solution

The fourth proportional to 144,394.49, 216,628.67 and 55,624.16 is: 83,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,394.49 : 216,628.67 = 55,624.16 : x
  2. Step 2: Convert to fraction form
    144,394.49/216,628.67 = 55,624.16/x
  3. Step 3: Cross multiply
    144,394.49x = 216,628.67 × 55,624.16
  4. Step 4: Simplify right side
    144,394.49x = 12,049,786,856.58
  5. Step 5: Solve for x
    x = 12,049,786,856.58/144,394.49
  6. Step 6: Final answer
    x = 83,450.46

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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.