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Finding the Fourth Proportional to 143,670.68, 198,252.84 and 83,222

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Solution

The fourth proportional to 143,670.68, 198,252.84 and 83,222 is: 114,839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,670.68 : 198,252.84 = 83,222 : x
  2. Step 2: Convert to fraction form
    143,670.68/198,252.84 = 83,222/x
  3. Step 3: Cross multiply
    143,670.68x = 198,252.84 × 83,222
  4. Step 4: Simplify right side
    143,670.68x = 16,498,997,850.48
  5. Step 5: Solve for x
    x = 16,498,997,850.48/143,670.68
  6. Step 6: Final answer
    x = 114,839.00

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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.