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Finding the Fourth Proportional to 205,327.12, 308,001.76 and 65,096.72

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Solution

The fourth proportional to 205,327.12, 308,001.76 and 65,096.72 is: 97,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,327.12 : 308,001.76 = 65,096.72 : x
  2. Step 2: Convert to fraction form
    205,327.12/308,001.76 = 65,096.72/x
  3. Step 3: Cross multiply
    205,327.12x = 308,001.76 × 65,096.72
  4. Step 4: Simplify right side
    205,327.12x = 20,049,904,330.23
  5. Step 5: Solve for x
    x = 20,049,904,330.23/205,327.12
  6. Step 6: Final answer
    x = 97,648.59

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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.