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Finding the Fourth Proportional to 180,439.65, 270,583.47 and 54,098.01

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Solution

The fourth proportional to 180,439.65, 270,583.47 and 54,098.01 is: 81,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,439.65 : 270,583.47 = 54,098.01 : x
  2. Step 2: Convert to fraction form
    180,439.65/270,583.47 = 54,098.01/x
  3. Step 3: Cross multiply
    180,439.65x = 270,583.47 × 54,098.01
  4. Step 4: Simplify right side
    180,439.65x = 14,638,027,265.89
  5. Step 5: Solve for x
    x = 14,638,027,265.89/180,439.65
  6. Step 6: Final answer
    x = 81,124.23

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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.