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Finding the Fourth Proportional to 119,144.56, 164,412 and 65,429.28

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Solution

The fourth proportional to 119,144.56, 164,412 and 65,429.28 is: 90,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,144.56 : 164,412 = 65,429.28 : x
  2. Step 2: Convert to fraction form
    119,144.56/164,412 = 65,429.28/x
  3. Step 3: Cross multiply
    119,144.56x = 164,412 × 65,429.28
  4. Step 4: Simplify right side
    119,144.56x = 10,757,358,783.36
  5. Step 5: Solve for x
    x = 10,757,358,783.36/119,144.56
  6. Step 6: Final answer
    x = 90,288.29

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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.