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Finding the Fourth Proportional to 186,963.45, 280,462.81 and 144,890.66

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Solution

The fourth proportional to 186,963.45, 280,462.81 and 144,890.66 is: 217,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,963.45 : 280,462.81 = 144,890.66 : x
  2. Step 2: Convert to fraction form
    186,963.45/280,462.81 = 144,890.66/x
  3. Step 3: Cross multiply
    186,963.45x = 280,462.81 × 144,890.66
  4. Step 4: Simplify right side
    186,963.45x = 40,636,441,290.61
  5. Step 5: Solve for x
    x = 40,636,441,290.61/186,963.45
  6. Step 6: Final answer
    x = 217,349.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.