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Finding the Fourth Proportional to 180,702.93, 270,873.92 and 120,781.87

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Solution

The fourth proportional to 180,702.93, 270,873.92 and 120,781.87 is: 181,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,702.93 : 270,873.92 = 120,781.87 : x
  2. Step 2: Convert to fraction form
    180,702.93/270,873.92 = 120,781.87/x
  3. Step 3: Cross multiply
    180,702.93x = 270,873.92 × 120,781.87
  4. Step 4: Simplify right side
    180,702.93x = 32,716,658,216.60
  5. Step 5: Solve for x
    x = 32,716,658,216.60/180,702.93
  6. Step 6: Final answer
    x = 181,052.17

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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.