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Finding the Fourth Proportional to 178,163.16, 245,865.22 and 97,593.59

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Solution

The fourth proportional to 178,163.16, 245,865.22 and 97,593.59 is: 134,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,163.16 : 245,865.22 = 97,593.59 : x
  2. Step 2: Convert to fraction form
    178,163.16/245,865.22 = 97,593.59/x
  3. Step 3: Cross multiply
    178,163.16x = 245,865.22 × 97,593.59
  4. Step 4: Simplify right side
    178,163.16x = 23,994,869,475.94
  5. Step 5: Solve for x
    x = 23,994,869,475.94/178,163.16
  6. Step 6: Final answer
    x = 134,679.19

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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.