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Finding the Fourth Proportional to 119,477.89, 164,873.22 and 65,752.64

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Solution

The fourth proportional to 119,477.89, 164,873.22 and 65,752.64 is: 90,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,477.89 : 164,873.22 = 65,752.64 : x
  2. Step 2: Convert to fraction form
    119,477.89/164,873.22 = 65,752.64/x
  3. Step 3: Cross multiply
    119,477.89x = 164,873.22 × 65,752.64
  4. Step 4: Simplify right side
    119,477.89x = 10,840,848,933.79
  5. Step 5: Solve for x
    x = 10,840,848,933.79/119,477.89
  6. Step 6: Final answer
    x = 90,735.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.