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Finding the Fourth Proportional to 200,642.82, 276,832.53 and 119,999.22

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Solution

The fourth proportional to 200,642.82, 276,832.53 and 119,999.22 is: 165,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,642.82 : 276,832.53 = 119,999.22 : x
  2. Step 2: Convert to fraction form
    200,642.82/276,832.53 = 119,999.22/x
  3. Step 3: Cross multiply
    200,642.82x = 276,832.53 × 119,999.22
  4. Step 4: Simplify right side
    200,642.82x = 33,219,687,670.63
  5. Step 5: Solve for x
    x = 33,219,687,670.63/200,642.82
  6. Step 6: Final answer
    x = 165,566.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.