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Finding the Fourth Proportional to 201,724.70, 302,587.05 and 192,047.90

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Solution

The fourth proportional to 201,724.70, 302,587.05 and 192,047.90 is: 288,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,724.70 : 302,587.05 = 192,047.90 : x
  2. Step 2: Convert to fraction form
    201,724.70/302,587.05 = 192,047.90/x
  3. Step 3: Cross multiply
    201,724.70x = 302,587.05 × 192,047.90
  4. Step 4: Simplify right side
    201,724.70x = 58,111,207,519.70
  5. Step 5: Solve for x
    x = 58,111,207,519.70/201,724.70
  6. Step 6: Final answer
    x = 288,071.85

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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.