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Finding the Fourth Proportional to 201,698.70, 301,891.95 and 157,083.90

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Solution

The fourth proportional to 201,698.70, 301,891.95 and 157,083.90 is: 235,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.70 : 301,891.95 = 157,083.90 : x
  2. Step 2: Convert to fraction form
    201,698.70/301,891.95 = 157,083.90/x
  3. Step 3: Cross multiply
    201,698.70x = 301,891.95 × 157,083.90
  4. Step 4: Simplify right side
    201,698.70x = 47,422,364,884.61
  5. Step 5: Solve for x
    x = 47,422,364,884.61/201,698.70
  6. Step 6: Final answer
    x = 235,114.88

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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.