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Finding the Fourth Proportional to 102,257.76, 141,105.60 and 59,808

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Solution

The fourth proportional to 102,257.76, 141,105.60 and 59,808 is: 82,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,257.76 : 141,105.60 = 59,808 : x
  2. Step 2: Convert to fraction form
    102,257.76/141,105.60 = 59,808/x
  3. Step 3: Cross multiply
    102,257.76x = 141,105.60 × 59,808
  4. Step 4: Simplify right side
    102,257.76x = 8,439,243,724.80
  5. Step 5: Solve for x
    x = 8,439,243,724.80/102,257.76
  6. Step 6: Final answer
    x = 82,529.13

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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.