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Finding the Fourth Proportional to 265,943.40, 366,994.60 and 145,084.65

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Solution

The fourth proportional to 265,943.40, 366,994.60 and 145,084.65 is: 200,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,943.40 : 366,994.60 = 145,084.65 : x
  2. Step 2: Convert to fraction form
    265,943.40/366,994.60 = 145,084.65/x
  3. Step 3: Cross multiply
    265,943.40x = 366,994.60 × 145,084.65
  4. Step 4: Simplify right side
    265,943.40x = 53,245,283,092.89
  5. Step 5: Solve for x
    x = 53,245,283,092.89/265,943.40
  6. Step 6: Final answer
    x = 200,212.84

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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.