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Finding the Fourth Proportional to 135,199.84, 186,559.44 and 74,762.32

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Solution

The fourth proportional to 135,199.84, 186,559.44 and 74,762.32 is: 103,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,199.84 : 186,559.44 = 74,762.32 : x
  2. Step 2: Convert to fraction form
    135,199.84/186,559.44 = 74,762.32/x
  3. Step 3: Cross multiply
    135,199.84x = 186,559.44 × 74,762.32
  4. Step 4: Simplify right side
    135,199.84x = 13,947,616,552.30
  5. Step 5: Solve for x
    x = 13,947,616,552.30/135,199.84
  6. Step 6: Final answer
    x = 103,162.97

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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.