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Finding the Fourth Proportional to 211,907.54, 317,826.36 and 69,754.66

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Solution

The fourth proportional to 211,907.54, 317,826.36 and 69,754.66 is: 104,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,907.54 : 317,826.36 = 69,754.66 : x
  2. Step 2: Convert to fraction form
    211,907.54/317,826.36 = 69,754.66/x
  3. Step 3: Cross multiply
    211,907.54x = 317,826.36 × 69,754.66
  4. Step 4: Simplify right side
    211,907.54x = 22,169,869,680.84
  5. Step 5: Solve for x
    x = 22,169,869,680.84/211,907.54
  6. Step 6: Final answer
    x = 104,620.49

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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.