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Finding the Fourth Proportional to 188,595.78, 260,271.64 and 116,998.86

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Solution

The fourth proportional to 188,595.78, 260,271.64 and 116,998.86 is: 161,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,595.78 : 260,271.64 = 116,998.86 : x
  2. Step 2: Convert to fraction form
    188,595.78/260,271.64 = 116,998.86/x
  3. Step 3: Cross multiply
    188,595.78x = 260,271.64 × 116,998.86
  4. Step 4: Simplify right side
    188,595.78x = 30,451,486,292.60
  5. Step 5: Solve for x
    x = 30,451,486,292.60/188,595.78
  6. Step 6: Final answer
    x = 161,464.31

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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.