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Finding the Fourth Proportional to 211,698.60, 292,147.38 and 116,214

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Solution

The fourth proportional to 211,698.60, 292,147.38 and 116,214 is: 160,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,698.60 : 292,147.38 = 116,214 : x
  2. Step 2: Convert to fraction form
    211,698.60/292,147.38 = 116,214/x
  3. Step 3: Cross multiply
    211,698.60x = 292,147.38 × 116,214
  4. Step 4: Simplify right side
    211,698.60x = 33,951,615,619.32
  5. Step 5: Solve for x
    x = 33,951,615,619.32/211,698.60
  6. Step 6: Final answer
    x = 160,377.14

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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.