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Finding the Fourth Proportional to 119,286, 164,614.68 and 68,988.24

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Solution

The fourth proportional to 119,286, 164,614.68 and 68,988.24 is: 95,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,286 : 164,614.68 = 68,988.24 : x
  2. Step 2: Convert to fraction form
    119,286/164,614.68 = 68,988.24/x
  3. Step 3: Cross multiply
    119,286x = 164,614.68 × 68,988.24
  4. Step 4: Simplify right side
    119,286x = 11,356,477,051.36
  5. Step 5: Solve for x
    x = 11,356,477,051.36/119,286
  6. Step 6: Final answer
    x = 95,203.77

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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.