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Finding the Fourth Proportional to 201,461.36, 302,229.41 and 66,534.77

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Solution

The fourth proportional to 201,461.36, 302,229.41 and 66,534.77 is: 99,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,461.36 : 302,229.41 = 66,534.77 : x
  2. Step 2: Convert to fraction form
    201,461.36/302,229.41 = 66,534.77/x
  3. Step 3: Cross multiply
    201,461.36x = 302,229.41 × 66,534.77
  4. Step 4: Simplify right side
    201,461.36x = 20,108,764,041.59
  5. Step 5: Solve for x
    x = 20,108,764,041.59/201,461.36
  6. Step 6: Final answer
    x = 99,814.50

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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.