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Finding the Fourth Proportional to 141,657, 195,428.08 and 84,284.84

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Solution

The fourth proportional to 141,657, 195,428.08 and 84,284.84 is: 116,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,657 : 195,428.08 = 84,284.84 : x
  2. Step 2: Convert to fraction form
    141,657/195,428.08 = 84,284.84/x
  3. Step 3: Cross multiply
    141,657x = 195,428.08 × 84,284.84
  4. Step 4: Simplify right side
    141,657x = 16,471,624,454.31
  5. Step 5: Solve for x
    x = 16,471,624,454.31/141,657
  6. Step 6: Final answer
    x = 116,278.22

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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.