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Finding the Fourth Proportional to 200,893.62, 277,230.84 and 116,008.86

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Solution

The fourth proportional to 200,893.62, 277,230.84 and 116,008.86 is: 160,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,893.62 : 277,230.84 = 116,008.86 : x
  2. Step 2: Convert to fraction form
    200,893.62/277,230.84 = 116,008.86/x
  3. Step 3: Cross multiply
    200,893.62x = 277,230.84 × 116,008.86
  4. Step 4: Simplify right side
    200,893.62x = 32,161,233,705.24
  5. Step 5: Solve for x
    x = 32,161,233,705.24/200,893.62
  6. Step 6: Final answer
    x = 160,090.87

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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.