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Finding the Fourth Proportional to 201,730.80, 302,486.85 and 83,268.30

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Solution

The fourth proportional to 201,730.80, 302,486.85 and 83,268.30 is: 124,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,730.80 : 302,486.85 = 83,268.30 : x
  2. Step 2: Convert to fraction form
    201,730.80/302,486.85 = 83,268.30/x
  3. Step 3: Cross multiply
    201,730.80x = 302,486.85 × 83,268.30
  4. Step 4: Simplify right side
    201,730.80x = 25,187,565,771.86
  5. Step 5: Solve for x
    x = 25,187,565,771.86/201,730.80
  6. Step 6: Final answer
    x = 124,857.31

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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.