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Finding the Fourth Proportional to 211,680.70, 292,118.34 and 116,189.02

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Solution

The fourth proportional to 211,680.70, 292,118.34 and 116,189.02 is: 160,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,680.70 : 292,118.34 = 116,189.02 : x
  2. Step 2: Convert to fraction form
    211,680.70/292,118.34 = 116,189.02/x
  3. Step 3: Cross multiply
    211,680.70x = 292,118.34 × 116,189.02
  4. Step 4: Simplify right side
    211,680.70x = 33,940,943,648.63
  5. Step 5: Solve for x
    x = 33,940,943,648.63/211,680.70
  6. Step 6: Final answer
    x = 160,340.28

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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.