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Finding the Fourth Proportional to 212,525.77, 293,211.38 and 120,634.11

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Solution

The fourth proportional to 212,525.77, 293,211.38 and 120,634.11 is: 166,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,525.77 : 293,211.38 = 120,634.11 : x
  2. Step 2: Convert to fraction form
    212,525.77/293,211.38 = 120,634.11/x
  3. Step 3: Cross multiply
    212,525.77x = 293,211.38 × 120,634.11
  4. Step 4: Simplify right side
    212,525.77x = 35,371,291,798.94
  5. Step 5: Solve for x
    x = 35,371,291,798.94/212,525.77
  6. Step 6: Final answer
    x = 166,432.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.