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Finding the Fourth Proportional to 180,844.80, 271,396.80 and 101,875.20

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Solution

The fourth proportional to 180,844.80, 271,396.80 and 101,875.20 is: 152,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,844.80 : 271,396.80 = 101,875.20 : x
  2. Step 2: Convert to fraction form
    180,844.80/271,396.80 = 101,875.20/x
  3. Step 3: Cross multiply
    180,844.80x = 271,396.80 × 101,875.20
  4. Step 4: Simplify right side
    180,844.80x = 27,648,603,279.36
  5. Step 5: Solve for x
    x = 27,648,603,279.36/180,844.80
  6. Step 6: Final answer
    x = 152,885.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.