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Finding the Fourth Proportional to 180,520.02, 270,823.29 and 55,861.02

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Solution

The fourth proportional to 180,520.02, 270,823.29 and 55,861.02 is: 83,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,520.02 : 270,823.29 = 55,861.02 : x
  2. Step 2: Convert to fraction form
    180,520.02/270,823.29 = 55,861.02/x
  3. Step 3: Cross multiply
    180,520.02x = 270,823.29 × 55,861.02
  4. Step 4: Simplify right side
    180,520.02x = 15,128,465,219.16
  5. Step 5: Solve for x
    x = 15,128,465,219.16/180,520.02
  6. Step 6: Final answer
    x = 83,804.92

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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.