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Finding the Fourth Proportional to 211,454.37, 317,218.01 and 111,698.01

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Solution

The fourth proportional to 211,454.37, 317,218.01 and 111,698.01 is: 167,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,454.37 : 317,218.01 = 111,698.01 : x
  2. Step 2: Convert to fraction form
    211,454.37/317,218.01 = 111,698.01/x
  3. Step 3: Cross multiply
    211,454.37x = 317,218.01 × 111,698.01
  4. Step 4: Simplify right side
    211,454.37x = 35,432,619,894.67
  5. Step 5: Solve for x
    x = 35,432,619,894.67/211,454.37
  6. Step 6: Final answer
    x = 167,566.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.