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Finding the Fourth Proportional to 254,786.46, 382,188.33 and 67,798.14

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Solution

The fourth proportional to 254,786.46, 382,188.33 and 67,798.14 is: 101,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,786.46 : 382,188.33 = 67,798.14 : x
  2. Step 2: Convert to fraction form
    254,786.46/382,188.33 = 67,798.14/x
  3. Step 3: Cross multiply
    254,786.46x = 382,188.33 × 67,798.14
  4. Step 4: Simplify right side
    254,786.46x = 25,911,657,903.71
  5. Step 5: Solve for x
    x = 25,911,657,903.71/254,786.46
  6. Step 6: Final answer
    x = 101,699.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.