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Finding the Fourth Proportional to 201,765.66, 302,647.53 and 61,523.82

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Solution

The fourth proportional to 201,765.66, 302,647.53 and 61,523.82 is: 92,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,765.66 : 302,647.53 = 61,523.82 : x
  2. Step 2: Convert to fraction form
    201,765.66/302,647.53 = 61,523.82/x
  3. Step 3: Cross multiply
    201,765.66x = 302,647.53 × 61,523.82
  4. Step 4: Simplify right side
    201,765.66x = 18,620,032,159.16
  5. Step 5: Solve for x
    x = 18,620,032,159.16/201,765.66
  6. Step 6: Final answer
    x = 92,285.44

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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.