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Finding the Fourth Proportional to 180,395.48, 270,609.16 and 47,275.22

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Solution

The fourth proportional to 180,395.48, 270,609.16 and 47,275.22 is: 70,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,395.48 : 270,609.16 = 47,275.22 : x
  2. Step 2: Convert to fraction form
    180,395.48/270,609.16 = 47,275.22/x
  3. Step 3: Cross multiply
    180,395.48x = 270,609.16 × 47,275.22
  4. Step 4: Simplify right side
    180,395.48x = 12,793,107,573.02
  5. Step 5: Solve for x
    x = 12,793,107,573.02/180,395.48
  6. Step 6: Final answer
    x = 70,917.01

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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.