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Finding the Fourth Proportional to 206,653.32, 285,181.47 and 116,009.46

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Solution

The fourth proportional to 206,653.32, 285,181.47 and 116,009.46 is: 160,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,653.32 : 285,181.47 = 116,009.46 : x
  2. Step 2: Convert to fraction form
    206,653.32/285,181.47 = 116,009.46/x
  3. Step 3: Cross multiply
    206,653.32x = 285,181.47 × 116,009.46
  4. Step 4: Simplify right side
    206,653.32x = 33,083,748,336.71
  5. Step 5: Solve for x
    x = 33,083,748,336.71/206,653.32
  6. Step 6: Final answer
    x = 160,092.99

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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.