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Finding the Fourth Proportional to 210,491.53, 315,593.16 and 75,552.61

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Solution

The fourth proportional to 210,491.53, 315,593.16 and 75,552.61 is: 113,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,491.53 : 315,593.16 = 75,552.61 : x
  2. Step 2: Convert to fraction form
    210,491.53/315,593.16 = 75,552.61/x
  3. Step 3: Cross multiply
    210,491.53x = 315,593.16 × 75,552.61
  4. Step 4: Simplify right side
    210,491.53x = 23,843,886,936.15
  5. Step 5: Solve for x
    x = 23,843,886,936.15/210,491.53
  6. Step 6: Final answer
    x = 113,277.18

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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.