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Finding the Fourth Proportional to 201,883.90, 302,485.65 and 159,601.90

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Solution

The fourth proportional to 201,883.90, 302,485.65 and 159,601.90 is: 239,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,883.90 : 302,485.65 = 159,601.90 : x
  2. Step 2: Convert to fraction form
    201,883.90/302,485.65 = 159,601.90/x
  3. Step 3: Cross multiply
    201,883.90x = 302,485.65 × 159,601.90
  4. Step 4: Simplify right side
    201,883.90x = 48,277,284,462.74
  5. Step 5: Solve for x
    x = 48,277,284,462.74/201,883.90
  6. Step 6: Final answer
    x = 239,133.90

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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.