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Finding the Fourth Proportional to 180,393.67, 270,510.51 and 96,138.13

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Solution

The fourth proportional to 180,393.67, 270,510.51 and 96,138.13 is: 144,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,393.67 : 270,510.51 = 96,138.13 : x
  2. Step 2: Convert to fraction form
    180,393.67/270,510.51 = 96,138.13/x
  3. Step 3: Cross multiply
    180,393.67x = 270,510.51 × 96,138.13
  4. Step 4: Simplify right side
    180,393.67x = 26,006,374,576.75
  5. Step 5: Solve for x
    x = 26,006,374,576.75/180,393.67
  6. Step 6: Final answer
    x = 144,164.56

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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.