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Finding the Fourth Proportional to 119,451.56, 164,774.58 and 74,661.80

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Solution

The fourth proportional to 119,451.56, 164,774.58 and 74,661.80 is: 102,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,451.56 : 164,774.58 = 74,661.80 : x
  2. Step 2: Convert to fraction form
    119,451.56/164,774.58 = 74,661.80/x
  3. Step 3: Cross multiply
    119,451.56x = 164,774.58 × 74,661.80
  4. Step 4: Simplify right side
    119,451.56x = 12,302,366,737.04
  5. Step 5: Solve for x
    x = 12,302,366,737.04/119,451.56
  6. Step 6: Final answer
    x = 102,990.42

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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.