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Finding the Fourth Proportional to 211,873.44, 317,326.32 and 101,143.20

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Solution

The fourth proportional to 211,873.44, 317,326.32 and 101,143.20 is: 151,483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,873.44 : 317,326.32 = 101,143.20 : x
  2. Step 2: Convert to fraction form
    211,873.44/317,326.32 = 101,143.20/x
  3. Step 3: Cross multiply
    211,873.44x = 317,326.32 × 101,143.20
  4. Step 4: Simplify right side
    211,873.44x = 32,095,399,449.02
  5. Step 5: Solve for x
    x = 32,095,399,449.02/211,873.44
  6. Step 6: Final answer
    x = 151,483.83

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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.