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Finding the Fourth Proportional to 535,099.92, 802,732.80 and 180,086.28

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Solution

The fourth proportional to 535,099.92, 802,732.80 and 180,086.28 is: 270,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,099.92 : 802,732.80 = 180,086.28 : x
  2. Step 2: Convert to fraction form
    535,099.92/802,732.80 = 180,086.28/x
  3. Step 3: Cross multiply
    535,099.92x = 802,732.80 × 180,086.28
  4. Step 4: Simplify right side
    535,099.92x = 144,561,163,785.98
  5. Step 5: Solve for x
    x = 144,561,163,785.98/535,099.92
  6. Step 6: Final answer
    x = 270,157.33

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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.