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Finding the Fourth Proportional to 102,622.68, 141,617.16 and 57,299.40

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Solution

The fourth proportional to 102,622.68, 141,617.16 and 57,299.40 is: 79,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,622.68 : 141,617.16 = 57,299.40 : x
  2. Step 2: Convert to fraction form
    102,622.68/141,617.16 = 57,299.40/x
  3. Step 3: Cross multiply
    102,622.68x = 141,617.16 × 57,299.40
  4. Step 4: Simplify right side
    102,622.68x = 8,114,578,297.70
  5. Step 5: Solve for x
    x = 8,114,578,297.70/102,622.68
  6. Step 6: Final answer
    x = 79,071.98

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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.