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Finding the Fourth Proportional to 102,427.98, 141,350.10 and 59,416.17

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Solution

The fourth proportional to 102,427.98, 141,350.10 and 59,416.17 is: 81,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,427.98 : 141,350.10 = 59,416.17 : x
  2. Step 2: Convert to fraction form
    102,427.98/141,350.10 = 59,416.17/x
  3. Step 3: Cross multiply
    102,427.98x = 141,350.10 × 59,416.17
  4. Step 4: Simplify right side
    102,427.98x = 8,398,481,571.12
  5. Step 5: Solve for x
    x = 8,398,481,571.12/102,427.98
  6. Step 6: Final answer
    x = 81,994.02

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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.