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Finding the Fourth Proportional to 174,216, 240,420 and 94,728

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Solution

The fourth proportional to 174,216, 240,420 and 94,728 is: 130,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,216 : 240,420 = 94,728 : x
  2. Step 2: Convert to fraction form
    174,216/240,420 = 94,728/x
  3. Step 3: Cross multiply
    174,216x = 240,420 × 94,728
  4. Step 4: Simplify right side
    174,216x = 22,774,505,760
  5. Step 5: Solve for x
    x = 22,774,505,760/174,216
  6. Step 6: Final answer
    x = 130,725.68

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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.