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Finding the Fourth Proportional to 203,228.65, 280,502.19 and 135,248.48

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Solution

The fourth proportional to 203,228.65, 280,502.19 and 135,248.48 is: 186,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,228.65 : 280,502.19 = 135,248.48 : x
  2. Step 2: Convert to fraction form
    203,228.65/280,502.19 = 135,248.48/x
  3. Step 3: Cross multiply
    203,228.65x = 280,502.19 × 135,248.48
  4. Step 4: Simplify right side
    203,228.65x = 37,937,496,061.37
  5. Step 5: Solve for x
    x = 37,937,496,061.37/203,228.65
  6. Step 6: Final answer
    x = 186,673.96

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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.