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Finding the Fourth Proportional to 144,894.78, 217,343.70 and 39,713.76

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Solution

The fourth proportional to 144,894.78, 217,343.70 and 39,713.76 is: 59,571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,894.78 : 217,343.70 = 39,713.76 : x
  2. Step 2: Convert to fraction form
    144,894.78/217,343.70 = 39,713.76/x
  3. Step 3: Cross multiply
    144,894.78x = 217,343.70 × 39,713.76
  4. Step 4: Simplify right side
    144,894.78x = 8,631,535,539.31
  5. Step 5: Solve for x
    x = 8,631,535,539.31/144,894.78
  6. Step 6: Final answer
    x = 59,571.06

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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.