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Finding the Fourth Proportional to 93,742.60, 140,449.88 and 78,048.49

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Solution

The fourth proportional to 93,742.60, 140,449.88 and 78,048.49 is: 116,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,742.60 : 140,449.88 = 78,048.49 : x
  2. Step 2: Convert to fraction form
    93,742.60/140,449.88 = 78,048.49/x
  3. Step 3: Cross multiply
    93,742.60x = 140,449.88 × 78,048.49
  4. Step 4: Simplify right side
    93,742.60x = 10,961,901,054.68
  5. Step 5: Solve for x
    x = 10,961,901,054.68/93,742.60
  6. Step 6: Final answer
    x = 116,936.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.