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Finding the Fourth Proportional to 201,659.70, 302,518.35 and 68,546.10

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Solution

The fourth proportional to 201,659.70, 302,518.35 and 68,546.10 is: 102,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,659.70 : 302,518.35 = 68,546.10 : x
  2. Step 2: Convert to fraction form
    201,659.70/302,518.35 = 68,546.10/x
  3. Step 3: Cross multiply
    201,659.70x = 302,518.35 × 68,546.10
  4. Step 4: Simplify right side
    201,659.70x = 20,736,453,070.94
  5. Step 5: Solve for x
    x = 20,736,453,070.94/201,659.70
  6. Step 6: Final answer
    x = 102,828.94

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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.