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Finding the Fourth Proportional to 102,246.97, 141,064.29 and 59,202.96

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Solution

The fourth proportional to 102,246.97, 141,064.29 and 59,202.96 is: 81,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,246.97 : 141,064.29 = 59,202.96 : x
  2. Step 2: Convert to fraction form
    102,246.97/141,064.29 = 59,202.96/x
  3. Step 3: Cross multiply
    102,246.97x = 141,064.29 × 59,202.96
  4. Step 4: Simplify right side
    102,246.97x = 8,351,423,552.56
  5. Step 5: Solve for x
    x = 8,351,423,552.56/102,246.97
  6. Step 6: Final answer
    x = 81,678.94

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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.