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Finding the Fourth Proportional to 142,965.98, 214,309.56 and 68,066

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Solution

The fourth proportional to 142,965.98, 214,309.56 and 68,066 is: 102,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,965.98 : 214,309.56 = 68,066 : x
  2. Step 2: Convert to fraction form
    142,965.98/214,309.56 = 68,066/x
  3. Step 3: Cross multiply
    142,965.98x = 214,309.56 × 68,066
  4. Step 4: Simplify right side
    142,965.98x = 14,587,194,510.96
  5. Step 5: Solve for x
    x = 14,587,194,510.96/142,965.98
  6. Step 6: Final answer
    x = 102,032.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.