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Finding the Fourth Proportional to 201,565.02, 302,391.27 and 61,320

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Solution

The fourth proportional to 201,565.02, 302,391.27 and 61,320 is: 91,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,565.02 : 302,391.27 = 61,320 : x
  2. Step 2: Convert to fraction form
    201,565.02/302,391.27 = 61,320/x
  3. Step 3: Cross multiply
    201,565.02x = 302,391.27 × 61,320
  4. Step 4: Simplify right side
    201,565.02x = 18,542,632,676.40
  5. Step 5: Solve for x
    x = 18,542,632,676.40/201,565.02
  6. Step 6: Final answer
    x = 91,993.31

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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.