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Finding the Fourth Proportional to 187,021.71, 280,532.57 and 46,780.34

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Solution

The fourth proportional to 187,021.71, 280,532.57 and 46,780.34 is: 70,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,021.71 : 280,532.57 = 46,780.34 : x
  2. Step 2: Convert to fraction form
    187,021.71/280,532.57 = 46,780.34/x
  3. Step 3: Cross multiply
    187,021.71x = 280,532.57 × 46,780.34
  4. Step 4: Simplify right side
    187,021.71x = 13,123,407,369.11
  5. Step 5: Solve for x
    x = 13,123,407,369.11/187,021.71
  6. Step 6: Final answer
    x = 70,170.50

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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.