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Finding the Fourth Proportional to 180,220.04, 270,153.50 and 100,296.12

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Solution

The fourth proportional to 180,220.04, 270,153.50 and 100,296.12 is: 150,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,220.04 : 270,153.50 = 100,296.12 : x
  2. Step 2: Convert to fraction form
    180,220.04/270,153.50 = 100,296.12/x
  3. Step 3: Cross multiply
    180,220.04x = 270,153.50 × 100,296.12
  4. Step 4: Simplify right side
    180,220.04x = 27,095,347,854.42
  5. Step 5: Solve for x
    x = 27,095,347,854.42/180,220.04
  6. Step 6: Final answer
    x = 150,345.92

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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.