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Finding the Fourth Proportional to 360,814.16, 541,157.88 and 111,498.32

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Solution

The fourth proportional to 360,814.16, 541,157.88 and 111,498.32 is: 167,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,814.16 : 541,157.88 = 111,498.32 : x
  2. Step 2: Convert to fraction form
    360,814.16/541,157.88 = 111,498.32/x
  3. Step 3: Cross multiply
    360,814.16x = 541,157.88 × 111,498.32
  4. Step 4: Simplify right side
    360,814.16x = 60,338,194,474.76
  5. Step 5: Solve for x
    x = 60,338,194,474.76/360,814.16
  6. Step 6: Final answer
    x = 167,227.90

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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.