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Finding the Fourth Proportional to 206,592.66, 285,101.37 and 114,709.50

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Solution

The fourth proportional to 206,592.66, 285,101.37 and 114,709.50 is: 158,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,592.66 : 285,101.37 = 114,709.50 : x
  2. Step 2: Convert to fraction form
    206,592.66/285,101.37 = 114,709.50/x
  3. Step 3: Cross multiply
    206,592.66x = 285,101.37 × 114,709.50
  4. Step 4: Simplify right side
    206,592.66x = 32,703,835,602.02
  5. Step 5: Solve for x
    x = 32,703,835,602.02/206,592.66
  6. Step 6: Final answer
    x = 158,301.05

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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.