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Finding the Fourth Proportional to 206,012.82, 308,970.75 and 116,094.74

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Solution

The fourth proportional to 206,012.82, 308,970.75 and 116,094.74 is: 174,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,012.82 : 308,970.75 = 116,094.74 : x
  2. Step 2: Convert to fraction form
    206,012.82/308,970.75 = 116,094.74/x
  3. Step 3: Cross multiply
    206,012.82x = 308,970.75 × 116,094.74
  4. Step 4: Simplify right side
    206,012.82x = 35,869,878,888.86
  5. Step 5: Solve for x
    x = 35,869,878,888.86/206,012.82
  6. Step 6: Final answer
    x = 174,114.79

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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.