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Finding the Fourth Proportional to 201,412.52, 302,143.38 and 68,330.84

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Solution

The fourth proportional to 201,412.52, 302,143.38 and 68,330.84 is: 102,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,412.52 : 302,143.38 = 68,330.84 : x
  2. Step 2: Convert to fraction form
    201,412.52/302,143.38 = 68,330.84/x
  3. Step 3: Cross multiply
    201,412.52x = 302,143.38 × 68,330.84
  4. Step 4: Simplify right side
    201,412.52x = 20,645,710,955.84
  5. Step 5: Solve for x
    x = 20,645,710,955.84/201,412.52
  6. Step 6: Final answer
    x = 102,504.61

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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.