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Finding the Fourth Proportional to 180,624.80, 271,196.40 and 101,892.80

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Solution

The fourth proportional to 180,624.80, 271,196.40 and 101,892.80 is: 152,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,624.80 : 271,196.40 = 101,892.80 : x
  2. Step 2: Convert to fraction form
    180,624.80/271,196.40 = 101,892.80/x
  3. Step 3: Cross multiply
    180,624.80x = 271,196.40 × 101,892.80
  4. Step 4: Simplify right side
    180,624.80x = 27,632,960,545.92
  5. Step 5: Solve for x
    x = 27,632,960,545.92/180,624.80
  6. Step 6: Final answer
    x = 152,985.42

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