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Finding the Fourth Proportional to 180,266.32, 270,644.60 and 101,435.92

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Solution

The fourth proportional to 180,266.32, 270,644.60 and 101,435.92 is: 152,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,266.32 : 270,644.60 = 101,435.92 : x
  2. Step 2: Convert to fraction form
    180,266.32/270,644.60 = 101,435.92/x
  3. Step 3: Cross multiply
    180,266.32x = 270,644.60 × 101,435.92
  4. Step 4: Simplify right side
    180,266.32x = 27,453,083,994.03
  5. Step 5: Solve for x
    x = 27,453,083,994.03/180,266.32
  6. Step 6: Final answer
    x = 152,291.81

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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.