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Finding the Fourth Proportional to 119,123.24, 164,396.04 and 65,407.64

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Solution

The fourth proportional to 119,123.24, 164,396.04 and 65,407.64 is: 90,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,123.24 : 164,396.04 = 65,407.64 : x
  2. Step 2: Convert to fraction form
    119,123.24/164,396.04 = 65,407.64/x
  3. Step 3: Cross multiply
    119,123.24x = 164,396.04 × 65,407.64
  4. Step 4: Simplify right side
    119,123.24x = 10,752,757,001.75
  5. Step 5: Solve for x
    x = 10,752,757,001.75/119,123.24
  6. Step 6: Final answer
    x = 90,265.82

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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.