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Finding the Fourth Proportional to 120,973.50, 166,943.43 and 67,981.50

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Solution

The fourth proportional to 120,973.50, 166,943.43 and 67,981.50 is: 93,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,973.50 : 166,943.43 = 67,981.50 : x
  2. Step 2: Convert to fraction form
    120,973.50/166,943.43 = 67,981.50/x
  3. Step 3: Cross multiply
    120,973.50x = 166,943.43 × 67,981.50
  4. Step 4: Simplify right side
    120,973.50x = 11,349,064,786.55
  5. Step 5: Solve for x
    x = 11,349,064,786.55/120,973.50
  6. Step 6: Final answer
    x = 93,814.47

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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.