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Finding the Fourth Proportional to 104,866.49, 144,653.85 and 74,205.05

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Solution

The fourth proportional to 104,866.49, 144,653.85 and 74,205.05 is: 102,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,866.49 : 144,653.85 = 74,205.05 : x
  2. Step 2: Convert to fraction form
    104,866.49/144,653.85 = 74,205.05/x
  3. Step 3: Cross multiply
    104,866.49x = 144,653.85 × 74,205.05
  4. Step 4: Simplify right side
    104,866.49x = 10,734,046,533.58
  5. Step 5: Solve for x
    x = 10,734,046,533.58/104,866.49
  6. Step 6: Final answer
    x = 102,359.16

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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.