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Finding the Fourth Proportional to 186,639.73, 280,075.70 and 75,831.73

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Solution

The fourth proportional to 186,639.73, 280,075.70 and 75,831.73 is: 113,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,639.73 : 280,075.70 = 75,831.73 : x
  2. Step 2: Convert to fraction form
    186,639.73/280,075.70 = 75,831.73/x
  3. Step 3: Cross multiply
    186,639.73x = 280,075.70 × 75,831.73
  4. Step 4: Simplify right side
    186,639.73x = 21,238,624,861.96
  5. Step 5: Solve for x
    x = 21,238,624,861.96/186,639.73
  6. Step 6: Final answer
    x = 113,794.77

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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.