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Finding the Fourth Proportional to 180,142.41, 248,592.20 and 98,467

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Solution

The fourth proportional to 180,142.41, 248,592.20 and 98,467 is: 135,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,142.41 : 248,592.20 = 98,467 : x
  2. Step 2: Convert to fraction form
    180,142.41/248,592.20 = 98,467/x
  3. Step 3: Cross multiply
    180,142.41x = 248,592.20 × 98,467
  4. Step 4: Simplify right side
    180,142.41x = 24,478,128,157.40
  5. Step 5: Solve for x
    x = 24,478,128,157.40/180,142.41
  6. Step 6: Final answer
    x = 135,882.10

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