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Finding the Fourth Proportional to 202,144.20, 302,633.10 and 123,412.20

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Solution

The fourth proportional to 202,144.20, 302,633.10 and 123,412.20 is: 184,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,144.20 : 302,633.10 = 123,412.20 : x
  2. Step 2: Convert to fraction form
    202,144.20/302,633.10 = 123,412.20/x
  3. Step 3: Cross multiply
    202,144.20x = 302,633.10 × 123,412.20
  4. Step 4: Simplify right side
    202,144.20x = 37,348,616,663.82
  5. Step 5: Solve for x
    x = 37,348,616,663.82/202,144.20
  6. Step 6: Final answer
    x = 184,762.25

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1.5x scale

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.