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Finding the Fourth Proportional to 180,395.29, 270,297.42 and 96,065.92

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Solution

The fourth proportional to 180,395.29, 270,297.42 and 96,065.92 is: 143,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,395.29 : 270,297.42 = 96,065.92 : x
  2. Step 2: Convert to fraction form
    180,395.29/270,297.42 = 96,065.92/x
  3. Step 3: Cross multiply
    180,395.29x = 270,297.42 × 96,065.92
  4. Step 4: Simplify right side
    180,395.29x = 25,966,370,325.93
  5. Step 5: Solve for x
    x = 25,966,370,325.93/180,395.29
  6. Step 6: Final answer
    x = 143,941.51

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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.