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Finding the Fourth Proportional to 201,865.06, 302,833.23 and 83,470.10

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Solution

The fourth proportional to 201,865.06, 302,833.23 and 83,470.10 is: 125,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,865.06 : 302,833.23 = 83,470.10 : x
  2. Step 2: Convert to fraction form
    201,865.06/302,833.23 = 83,470.10/x
  3. Step 3: Cross multiply
    201,865.06x = 302,833.23 × 83,470.10
  4. Step 4: Simplify right side
    201,865.06x = 25,277,519,991.42
  5. Step 5: Solve for x
    x = 25,277,519,991.42/201,865.06
  6. Step 6: Final answer
    x = 125,219.89

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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.