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Finding the Fourth Proportional to 202,643.96, 279,682.68 and 137,203.10

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Solution

The fourth proportional to 202,643.96, 279,682.68 and 137,203.10 is: 189,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,643.96 : 279,682.68 = 137,203.10 : x
  2. Step 2: Convert to fraction form
    202,643.96/279,682.68 = 137,203.10/x
  3. Step 3: Cross multiply
    202,643.96x = 279,682.68 × 137,203.10
  4. Step 4: Simplify right side
    202,643.96x = 38,373,330,712.31
  5. Step 5: Solve for x
    x = 38,373,330,712.31/202,643.96
  6. Step 6: Final answer
    x = 189,363.31

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