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Finding the Fourth Proportional to 180,659.88, 248,909.18 and 119,297.10

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Solution

The fourth proportional to 180,659.88, 248,909.18 and 119,297.10 is: 164,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,659.88 : 248,909.18 = 119,297.10 : x
  2. Step 2: Convert to fraction form
    180,659.88/248,909.18 = 119,297.10/x
  3. Step 3: Cross multiply
    180,659.88x = 248,909.18 × 119,297.10
  4. Step 4: Simplify right side
    180,659.88x = 29,694,143,337.38
  5. Step 5: Solve for x
    x = 29,694,143,337.38/180,659.88
  6. Step 6: Final answer
    x = 164,364.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.