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Finding the Fourth Proportional to 228,241.38, 314,916.52 and 147,571.84

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Solution

The fourth proportional to 228,241.38, 314,916.52 and 147,571.84 is: 203,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,241.38 : 314,916.52 = 147,571.84 : x
  2. Step 2: Convert to fraction form
    228,241.38/314,916.52 = 147,571.84/x
  3. Step 3: Cross multiply
    228,241.38x = 314,916.52 × 147,571.84
  4. Step 4: Simplify right side
    228,241.38x = 46,472,809,146.58
  5. Step 5: Solve for x
    x = 46,472,809,146.58/228,241.38
  6. Step 6: Final answer
    x = 203,612.55

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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.