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Finding the Fourth Proportional to 211,059.96, 291,259.85 and 115,566.65

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Solution

The fourth proportional to 211,059.96, 291,259.85 and 115,566.65 is: 159,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,059.96 : 291,259.85 = 115,566.65 : x
  2. Step 2: Convert to fraction form
    211,059.96/291,259.85 = 115,566.65/x
  3. Step 3: Cross multiply
    211,059.96x = 291,259.85 × 115,566.65
  4. Step 4: Simplify right side
    211,059.96x = 33,659,924,852.16
  5. Step 5: Solve for x
    x = 33,659,924,852.16/211,059.96
  6. Step 6: Final answer
    x = 159,480.39

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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.