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Finding the Fourth Proportional to 206,041.06, 308,660.64 and 151,907.14

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Solution

The fourth proportional to 206,041.06, 308,660.64 and 151,907.14 is: 227,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,041.06 : 308,660.64 = 151,907.14 : x
  2. Step 2: Convert to fraction form
    206,041.06/308,660.64 = 151,907.14/x
  3. Step 3: Cross multiply
    206,041.06x = 308,660.64 × 151,907.14
  4. Step 4: Simplify right side
    206,041.06x = 46,887,755,052.97
  5. Step 5: Solve for x
    x = 46,887,755,052.97/206,041.06
  6. Step 6: Final answer
    x = 227,565.10

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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.