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Finding the Fourth Proportional to 263,205.32, 363,221.70 and 150,026.72

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Solution

The fourth proportional to 263,205.32, 363,221.70 and 150,026.72 is: 207,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,205.32 : 363,221.70 = 150,026.72 : x
  2. Step 2: Convert to fraction form
    263,205.32/363,221.70 = 150,026.72/x
  3. Step 3: Cross multiply
    263,205.32x = 363,221.70 × 150,026.72
  4. Step 4: Simplify right side
    263,205.32x = 54,492,960,283.82
  5. Step 5: Solve for x
    x = 54,492,960,283.82/263,205.32
  6. Step 6: Final answer
    x = 207,035.94

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