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Finding the Fourth Proportional to 211,590.55, 291,995.31 and 116,097.96

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Solution

The fourth proportional to 211,590.55, 291,995.31 and 116,097.96 is: 160,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,590.55 : 291,995.31 = 116,097.96 : x
  2. Step 2: Convert to fraction form
    211,590.55/291,995.31 = 116,097.96/x
  3. Step 3: Cross multiply
    211,590.55x = 291,995.31 × 116,097.96
  4. Step 4: Simplify right side
    211,590.55x = 33,900,059,820.57
  5. Step 5: Solve for x
    x = 33,900,059,820.57/211,590.55
  6. Step 6: Final answer
    x = 160,215.38

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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.