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Finding the Fourth Proportional to 301,793.94, 452,655.54 and 102,113.73

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Solution

The fourth proportional to 301,793.94, 452,655.54 and 102,113.73 is: 153,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,793.94 : 452,655.54 = 102,113.73 : x
  2. Step 2: Convert to fraction form
    301,793.94/452,655.54 = 102,113.73/x
  3. Step 3: Cross multiply
    301,793.94x = 452,655.54 × 102,113.73
  4. Step 4: Simplify right side
    301,793.94x = 46,222,345,594.56
  5. Step 5: Solve for x
    x = 46,222,345,594.56/301,793.94
  6. Step 6: Final answer
    x = 153,158.63

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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.