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Finding the Fourth Proportional to 141,216, 194,895.36 and 81,600

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Solution

The fourth proportional to 141,216, 194,895.36 and 81,600 is: 112,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,216 : 194,895.36 = 81,600 : x
  2. Step 2: Convert to fraction form
    141,216/194,895.36 = 81,600/x
  3. Step 3: Cross multiply
    141,216x = 194,895.36 × 81,600
  4. Step 4: Simplify right side
    141,216x = 15,903,461,376.00
  5. Step 5: Solve for x
    x = 15,903,461,376.00/141,216
  6. Step 6: Final answer
    x = 112,617.99

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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.