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Finding the Fourth Proportional to 201,309.78, 301,776.94 and 68,097.35

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Solution

The fourth proportional to 201,309.78, 301,776.94 and 68,097.35 is: 102,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,309.78 : 301,776.94 = 68,097.35 : x
  2. Step 2: Convert to fraction form
    201,309.78/301,776.94 = 68,097.35/x
  3. Step 3: Cross multiply
    201,309.78x = 301,776.94 × 68,097.35
  4. Step 4: Simplify right side
    201,309.78x = 20,550,209,905.11
  5. Step 5: Solve for x
    x = 20,550,209,905.11/201,309.78
  6. Step 6: Final answer
    x = 102,082.52

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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.