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Finding the Fourth Proportional to 102,096.33, 140,872.27 and 59,646.66

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Solution

The fourth proportional to 102,096.33, 140,872.27 and 59,646.66 is: 82,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096.33 : 140,872.27 = 59,646.66 : x
  2. Step 2: Convert to fraction form
    102,096.33/140,872.27 = 59,646.66/x
  3. Step 3: Cross multiply
    102,096.33x = 140,872.27 × 59,646.66
  4. Step 4: Simplify right side
    102,096.33x = 8,402,560,392.12
  5. Step 5: Solve for x
    x = 8,402,560,392.12/102,096.33
  6. Step 6: Final answer
    x = 82,300.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.