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Finding the Fourth Proportional to 180,287.64, 270,446.04 and 61,959.06

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Solution

The fourth proportional to 180,287.64, 270,446.04 and 61,959.06 is: 92,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,287.64 : 270,446.04 = 61,959.06 : x
  2. Step 2: Convert to fraction form
    180,287.64/270,446.04 = 61,959.06/x
  3. Step 3: Cross multiply
    180,287.64x = 270,446.04 × 61,959.06
  4. Step 4: Simplify right side
    180,287.64x = 16,756,582,419.12
  5. Step 5: Solve for x
    x = 16,756,582,419.12/180,287.64
  6. Step 6: Final answer
    x = 92,943.60

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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.