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Finding the Fourth Proportional to 206,803.71, 285,396.04 and 114,926.86

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Solution

The fourth proportional to 206,803.71, 285,396.04 and 114,926.86 is: 158,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,803.71 : 285,396.04 = 114,926.86 : x
  2. Step 2: Convert to fraction form
    206,803.71/285,396.04 = 114,926.86/x
  3. Step 3: Cross multiply
    206,803.71x = 285,396.04 × 114,926.86
  4. Step 4: Simplify right side
    206,803.71x = 32,799,671,105.34
  5. Step 5: Solve for x
    x = 32,799,671,105.34/206,803.71
  6. Step 6: Final answer
    x = 158,602.92

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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.