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Finding the Fourth Proportional to 211,345.20, 317,017.80 and 185,101.20

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Solution

The fourth proportional to 211,345.20, 317,017.80 and 185,101.20 is: 277,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,345.20 : 317,017.80 = 185,101.20 : x
  2. Step 2: Convert to fraction form
    211,345.20/317,017.80 = 185,101.20/x
  3. Step 3: Cross multiply
    211,345.20x = 317,017.80 × 185,101.20
  4. Step 4: Simplify right side
    211,345.20x = 58,680,375,201.36
  5. Step 5: Solve for x
    x = 58,680,375,201.36/211,345.20
  6. Step 6: Final answer
    x = 277,651.80

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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.