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Finding the Fourth Proportional to 119,066.16, 164,285.64 and 68,736

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Solution

The fourth proportional to 119,066.16, 164,285.64 and 68,736 is: 94,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,066.16 : 164,285.64 = 68,736 : x
  2. Step 2: Convert to fraction form
    119,066.16/164,285.64 = 68,736/x
  3. Step 3: Cross multiply
    119,066.16x = 164,285.64 × 68,736
  4. Step 4: Simplify right side
    119,066.16x = 11,292,337,751.04
  5. Step 5: Solve for x
    x = 11,292,337,751.04/119,066.16
  6. Step 6: Final answer
    x = 94,840.87

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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.