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Finding the Fourth Proportional to 178,084, 245,745.08 and 97,512.49

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Solution

The fourth proportional to 178,084, 245,745.08 and 97,512.49 is: 134,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,084 : 245,745.08 = 97,512.49 : x
  2. Step 2: Convert to fraction form
    178,084/245,745.08 = 97,512.49/x
  3. Step 3: Cross multiply
    178,084x = 245,745.08 × 97,512.49
  4. Step 4: Simplify right side
    178,084x = 23,963,214,168.49
  5. Step 5: Solve for x
    x = 23,963,214,168.49/178,084
  6. Step 6: Final answer
    x = 134,561.30

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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.