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Finding the Fourth Proportional to 230,826.45, 346,259.49 and 81,053.86

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Solution

The fourth proportional to 230,826.45, 346,259.49 and 81,053.86 is: 121,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,826.45 : 346,259.49 = 81,053.86 : x
  2. Step 2: Convert to fraction form
    230,826.45/346,259.49 = 81,053.86/x
  3. Step 3: Cross multiply
    230,826.45x = 346,259.49 × 81,053.86
  4. Step 4: Simplify right side
    230,826.45x = 28,065,668,226.13
  5. Step 5: Solve for x
    x = 28,065,668,226.13/230,826.45
  6. Step 6: Final answer
    x = 121,587.75

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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.