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Finding the Fourth Proportional to 201,857.82, 302,845.95 and 59,706.85

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Solution

The fourth proportional to 201,857.82, 302,845.95 and 59,706.85 is: 89,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,857.82 : 302,845.95 = 59,706.85 : x
  2. Step 2: Convert to fraction form
    201,857.82/302,845.95 = 59,706.85/x
  3. Step 3: Cross multiply
    201,857.82x = 302,845.95 × 59,706.85
  4. Step 4: Simplify right side
    201,857.82x = 18,081,977,411.22
  5. Step 5: Solve for x
    x = 18,081,977,411.22/201,857.82
  6. Step 6: Final answer
    x = 89,577.79

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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.