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Finding the Fourth Proportional to 201,234.88, 301,994.47 and 96,062.05

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Solution

The fourth proportional to 201,234.88, 301,994.47 and 96,062.05 is: 144,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,234.88 : 301,994.47 = 96,062.05 : x
  2. Step 2: Convert to fraction form
    201,234.88/301,994.47 = 96,062.05/x
  3. Step 3: Cross multiply
    201,234.88x = 301,994.47 × 96,062.05
  4. Step 4: Simplify right side
    201,234.88x = 29,010,206,366.89
  5. Step 5: Solve for x
    x = 29,010,206,366.89/201,234.88
  6. Step 6: Final answer
    x = 144,160.93

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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.