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Finding the Fourth Proportional to 180,833.62, 270,718.33 and 120,712.98

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Solution

The fourth proportional to 180,833.62, 270,718.33 and 120,712.98 is: 180,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,833.62 : 270,718.33 = 120,712.98 : x
  2. Step 2: Convert to fraction form
    180,833.62/270,718.33 = 120,712.98/x
  3. Step 3: Cross multiply
    180,833.62x = 270,718.33 × 120,712.98
  4. Step 4: Simplify right side
    180,833.62x = 32,679,216,354.92
  5. Step 5: Solve for x
    x = 32,679,216,354.92/180,833.62
  6. Step 6: Final answer
    x = 180,714.27

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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.