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Finding the Fourth Proportional to 260,940, 360,097.44 and 141,708

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Solution

The fourth proportional to 260,940, 360,097.44 and 141,708 is: 195,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,940 : 360,097.44 = 141,708 : x
  2. Step 2: Convert to fraction form
    260,940/360,097.44 = 141,708/x
  3. Step 3: Cross multiply
    260,940x = 360,097.44 × 141,708
  4. Step 4: Simplify right side
    260,940x = 51,028,688,027.52
  5. Step 5: Solve for x
    x = 51,028,688,027.52/260,940
  6. Step 6: Final answer
    x = 195,557.17

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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.