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Finding the Fourth Proportional to 206,208.32, 284,558.88 and 116,784.32

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Solution

The fourth proportional to 206,208.32, 284,558.88 and 116,784.32 is: 161,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,208.32 : 284,558.88 = 116,784.32 : x
  2. Step 2: Convert to fraction form
    206,208.32/284,558.88 = 116,784.32/x
  3. Step 3: Cross multiply
    206,208.32x = 284,558.88 × 116,784.32
  4. Step 4: Simplify right side
    206,208.32x = 33,232,015,300.76
  5. Step 5: Solve for x
    x = 33,232,015,300.76/206,208.32
  6. Step 6: Final answer
    x = 161,157.49

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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.