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Finding the Fourth Proportional to 262,046.84, 361,625.84 and 148,875.80

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Solution

The fourth proportional to 262,046.84, 361,625.84 and 148,875.80 is: 205,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,046.84 : 361,625.84 = 148,875.80 : x
  2. Step 2: Convert to fraction form
    262,046.84/361,625.84 = 148,875.80/x
  3. Step 3: Cross multiply
    262,046.84x = 361,625.84 × 148,875.80
  4. Step 4: Simplify right side
    262,046.84x = 53,837,336,230.67
  5. Step 5: Solve for x
    x = 53,837,336,230.67/262,046.84
  6. Step 6: Final answer
    x = 205,449.29

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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.