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Finding the Fourth Proportional to 206,415.40, 309,623.10 and 184,764.10

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Solution

The fourth proportional to 206,415.40, 309,623.10 and 184,764.10 is: 277,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,415.40 : 309,623.10 = 184,764.10 : x
  2. Step 2: Convert to fraction form
    206,415.40/309,623.10 = 184,764.10/x
  3. Step 3: Cross multiply
    206,415.40x = 309,623.10 × 184,764.10
  4. Step 4: Simplify right side
    206,415.40x = 57,207,233,410.71
  5. Step 5: Solve for x
    x = 57,207,233,410.71/206,415.40
  6. Step 6: Final answer
    x = 277,146.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.