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Finding the Fourth Proportional to 201,785.36, 302,695.46 and 52,024.36

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Solution

The fourth proportional to 201,785.36, 302,695.46 and 52,024.36 is: 78,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,785.36 : 302,695.46 = 52,024.36 : x
  2. Step 2: Convert to fraction form
    201,785.36/302,695.46 = 52,024.36/x
  3. Step 3: Cross multiply
    201,785.36x = 302,695.46 × 52,024.36
  4. Step 4: Simplify right side
    201,785.36x = 15,747,537,581.41
  5. Step 5: Solve for x
    x = 15,747,537,581.41/201,785.36
  6. Step 6: Final answer
    x = 78,041.03

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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.