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Finding the Fourth Proportional to 178,395.68, 246,185.91 and 97,824.57

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Solution

The fourth proportional to 178,395.68, 246,185.91 and 97,824.57 is: 134,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,395.68 : 246,185.91 = 97,824.57 : x
  2. Step 2: Convert to fraction form
    178,395.68/246,185.91 = 97,824.57/x
  3. Step 3: Cross multiply
    178,395.68x = 246,185.91 × 97,824.57
  4. Step 4: Simplify right side
    178,395.68x = 24,083,030,785.81
  5. Step 5: Solve for x
    x = 24,083,030,785.81/178,395.68
  6. Step 6: Final answer
    x = 134,997.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.