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Finding the Fourth Proportional to 211,767.16, 317,689.70 and 69,620.44

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Solution

The fourth proportional to 211,767.16, 317,689.70 and 69,620.44 is: 104,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,767.16 : 317,689.70 = 69,620.44 : x
  2. Step 2: Convert to fraction form
    211,767.16/317,689.70 = 69,620.44/x
  3. Step 3: Cross multiply
    211,767.16x = 317,689.70 × 69,620.44
  4. Step 4: Simplify right side
    211,767.16x = 22,117,696,697.47
  5. Step 5: Solve for x
    x = 22,117,696,697.47/211,767.16
  6. Step 6: Final answer
    x = 104,443.47

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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.