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Finding the Fourth Proportional to 265,470.94, 366,346.74 and 144,611.92

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Solution

The fourth proportional to 265,470.94, 366,346.74 and 144,611.92 is: 199,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,470.94 : 366,346.74 = 144,611.92 : x
  2. Step 2: Convert to fraction form
    265,470.94/366,346.74 = 144,611.92/x
  3. Step 3: Cross multiply
    265,470.94x = 366,346.74 × 144,611.92
  4. Step 4: Simplify right side
    265,470.94x = 52,978,105,457.14
  5. Step 5: Solve for x
    x = 52,978,105,457.14/265,470.94
  6. Step 6: Final answer
    x = 199,562.73

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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.