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Finding the Fourth Proportional to 201,732.06, 302,643.45 and 61,504.86

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Solution

The fourth proportional to 201,732.06, 302,643.45 and 61,504.86 is: 92,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,732.06 : 302,643.45 = 61,504.86 : x
  2. Step 2: Convert to fraction form
    201,732.06/302,643.45 = 61,504.86/x
  3. Step 3: Cross multiply
    201,732.06x = 302,643.45 × 61,504.86
  4. Step 4: Simplify right side
    201,732.06x = 18,614,043,022.17
  5. Step 5: Solve for x
    x = 18,614,043,022.17/201,732.06
  6. Step 6: Final answer
    x = 92,271.12

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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.