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Finding the Fourth Proportional to 230,826.44, 346,259.50 and 81,053.86

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Solution

The fourth proportional to 230,826.44, 346,259.50 and 81,053.86 is: 121,587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,826.44 : 346,259.50 = 81,053.86 : x
  2. Step 2: Convert to fraction form
    230,826.44/346,259.50 = 81,053.86/x
  3. Step 3: Cross multiply
    230,826.44x = 346,259.50 × 81,053.86
  4. Step 4: Simplify right side
    230,826.44x = 28,065,669,036.67
  5. Step 5: Solve for x
    x = 28,065,669,036.67/230,826.44
  6. Step 6: Final answer
    x = 121,587.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.