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Finding the Fourth Proportional to 201,516.40, 302,291.52 and 61,276.24

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Solution

The fourth proportional to 201,516.40, 302,291.52 and 61,276.24 is: 91,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,516.40 : 302,291.52 = 61,276.24 : x
  2. Step 2: Convert to fraction form
    201,516.40/302,291.52 = 61,276.24/x
  3. Step 3: Cross multiply
    201,516.40x = 302,291.52 × 61,276.24
  4. Step 4: Simplify right side
    201,516.40x = 18,523,287,729.48
  5. Step 5: Solve for x
    x = 18,523,287,729.48/201,516.40
  6. Step 6: Final answer
    x = 91,919.50

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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.