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Finding the Fourth Proportional to 204,703.54, 282,487.12 and 114,057.56

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Solution

The fourth proportional to 204,703.54, 282,487.12 and 114,057.56 is: 157,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,703.54 : 282,487.12 = 114,057.56 : x
  2. Step 2: Convert to fraction form
    204,703.54/282,487.12 = 114,057.56/x
  3. Step 3: Cross multiply
    204,703.54x = 282,487.12 × 114,057.56
  4. Step 4: Simplify right side
    204,703.54x = 32,219,791,638.63
  5. Step 5: Solve for x
    x = 32,219,791,638.63/204,703.54
  6. Step 6: Final answer
    x = 157,397.33

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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.