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Finding the Fourth Proportional to 188,659.84, 260,357.44 and 103,783.36

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Solution

The fourth proportional to 188,659.84, 260,357.44 and 103,783.36 is: 143,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,659.84 : 260,357.44 = 103,783.36 : x
  2. Step 2: Convert to fraction form
    188,659.84/260,357.44 = 103,783.36/x
  3. Step 3: Cross multiply
    188,659.84x = 260,357.44 × 103,783.36
  4. Step 4: Simplify right side
    188,659.84x = 27,020,769,924.20
  5. Step 5: Solve for x
    x = 27,020,769,924.20/188,659.84
  6. Step 6: Final answer
    x = 143,224.81

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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.