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Finding the Fourth Proportional to 186,711.84, 280,065.24 and 46,471.68

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Solution

The fourth proportional to 186,711.84, 280,065.24 and 46,471.68 is: 69,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,711.84 : 280,065.24 = 46,471.68 : x
  2. Step 2: Convert to fraction form
    186,711.84/280,065.24 = 46,471.68/x
  3. Step 3: Cross multiply
    186,711.84x = 280,065.24 × 46,471.68
  4. Step 4: Simplify right side
    186,711.84x = 13,015,102,212.40
  5. Step 5: Solve for x
    x = 13,015,102,212.40/186,711.84
  6. Step 6: Final answer
    x = 69,706.89

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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.