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Finding the Fourth Proportional to 178,151.37, 245,849.00 and 97,578.87

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Solution

The fourth proportional to 178,151.37, 245,849.00 and 97,578.87 is: 134,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,151.37 : 245,849.00 = 97,578.87 : x
  2. Step 2: Convert to fraction form
    178,151.37/245,849.00 = 97,578.87/x
  3. Step 3: Cross multiply
    178,151.37x = 245,849.00 × 97,578.87
  4. Step 4: Simplify right side
    178,151.37x = 23,989,667,122.74
  5. Step 5: Solve for x
    x = 23,989,667,122.74/178,151.37
  6. Step 6: Final answer
    x = 134,658.90

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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.