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Finding the Fourth Proportional to 201,345.80, 302,213.10 and 122,613.80

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Solution

The fourth proportional to 201,345.80, 302,213.10 and 122,613.80 is: 184,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,345.80 : 302,213.10 = 122,613.80 : x
  2. Step 2: Convert to fraction form
    201,345.80/302,213.10 = 122,613.80/x
  3. Step 3: Cross multiply
    201,345.80x = 302,213.10 × 122,613.80
  4. Step 4: Simplify right side
    201,345.80x = 37,055,496,600.78
  5. Step 5: Solve for x
    x = 37,055,496,600.78/201,345.80
  6. Step 6: Final answer
    x = 184,039.08

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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.