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Finding the Fourth Proportional to 107,137.38, 147,811.47 and 61,826.83

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Solution

The fourth proportional to 107,137.38, 147,811.47 and 61,826.83 is: 85,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,137.38 : 147,811.47 = 61,826.83 : x
  2. Step 2: Convert to fraction form
    107,137.38/147,811.47 = 61,826.83/x
  3. Step 3: Cross multiply
    107,137.38x = 147,811.47 × 61,826.83
  4. Step 4: Simplify right side
    107,137.38x = 9,138,714,026.36
  5. Step 5: Solve for x
    x = 9,138,714,026.36/107,137.38
  6. Step 6: Final answer
    x = 85,299.02

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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.