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Finding the Fourth Proportional to 195,247, 292,536.16 and 106,562.74

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Solution

The fourth proportional to 195,247, 292,536.16 and 106,562.74 is: 159,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,247 : 292,536.16 = 106,562.74 : x
  2. Step 2: Convert to fraction form
    195,247/292,536.16 = 106,562.74/x
  3. Step 3: Cross multiply
    195,247x = 292,536.16 × 106,562.74
  4. Step 4: Simplify right side
    195,247x = 31,173,454,758.68
  5. Step 5: Solve for x
    x = 31,173,454,758.68/195,247
  6. Step 6: Final answer
    x = 159,661.63

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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.