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Finding the Fourth Proportional to 204,649.72, 282,412.76 and 114,013.16

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Solution

The fourth proportional to 204,649.72, 282,412.76 and 114,013.16 is: 157,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,649.72 : 282,412.76 = 114,013.16 : x
  2. Step 2: Convert to fraction form
    204,649.72/282,412.76 = 114,013.16/x
  3. Step 3: Cross multiply
    204,649.72x = 282,412.76 × 114,013.16
  4. Step 4: Simplify right side
    204,649.72x = 32,198,771,191.92
  5. Step 5: Solve for x
    x = 32,198,771,191.92/204,649.72
  6. Step 6: Final answer
    x = 157,336.01

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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.