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Finding the Fourth Proportional to 102,316.75, 141,198.62 and 59,299.45

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Solution

The fourth proportional to 102,316.75, 141,198.62 and 59,299.45 is: 81,834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,316.75 : 141,198.62 = 59,299.45 : x
  2. Step 2: Convert to fraction form
    102,316.75/141,198.62 = 59,299.45/x
  3. Step 3: Cross multiply
    102,316.75x = 141,198.62 × 59,299.45
  4. Step 4: Simplify right side
    102,316.75x = 8,373,000,506.76
  5. Step 5: Solve for x
    x = 8,373,000,506.76/102,316.75
  6. Step 6: Final answer
    x = 81,834.11

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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.