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Finding the Fourth Proportional to 82,142.84, 113,269.59 and 64,884.87

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Solution

The fourth proportional to 82,142.84, 113,269.59 and 64,884.87 is: 89,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.84 : 113,269.59 = 64,884.87 : x
  2. Step 2: Convert to fraction form
    82,142.84/113,269.59 = 64,884.87/x
  3. Step 3: Cross multiply
    82,142.84x = 113,269.59 × 64,884.87
  4. Step 4: Simplify right side
    82,142.84x = 7,349,482,622.10
  5. Step 5: Solve for x
    x = 7,349,482,622.10/82,142.84
  6. Step 6: Final answer
    x = 89,471.98

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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.