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Finding the Fourth Proportional to 188,698.56, 260,374.86 and 112,216.14

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Solution

The fourth proportional to 188,698.56, 260,374.86 and 112,216.14 is: 154,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,698.56 : 260,374.86 = 112,216.14 : x
  2. Step 2: Convert to fraction form
    188,698.56/260,374.86 = 112,216.14/x
  3. Step 3: Cross multiply
    188,698.56x = 260,374.86 × 112,216.14
  4. Step 4: Simplify right side
    188,698.56x = 29,218,261,742.24
  5. Step 5: Solve for x
    x = 29,218,261,742.24/188,698.56
  6. Step 6: Final answer
    x = 154,840.94

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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.