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Finding the Fourth Proportional to 268,683.82, 370,783.65 and 147,822.52

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Solution

The fourth proportional to 268,683.82, 370,783.65 and 147,822.52 is: 203,995.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,683.82 : 370,783.65 = 147,822.52 : x
  2. Step 2: Convert to fraction form
    268,683.82/370,783.65 = 147,822.52/x
  3. Step 3: Cross multiply
    268,683.82x = 370,783.65 × 147,822.52
  4. Step 4: Simplify right side
    268,683.82x = 54,810,173,517.80
  5. Step 5: Solve for x
    x = 54,810,173,517.80/268,683.82
  6. Step 6: Final answer
    x = 203,995.07

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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.