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Finding the Fourth Proportional to 227,564.60, 313,903.84 and 147,039.60

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Solution

The fourth proportional to 227,564.60, 313,903.84 and 147,039.60 is: 202,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,564.60 : 313,903.84 = 147,039.60 : x
  2. Step 2: Convert to fraction form
    227,564.60/313,903.84 = 147,039.60/x
  3. Step 3: Cross multiply
    227,564.60x = 313,903.84 × 147,039.60
  4. Step 4: Simplify right side
    227,564.60x = 46,156,295,072.06
  5. Step 5: Solve for x
    x = 46,156,295,072.06/227,564.60
  6. Step 6: Final answer
    x = 202,827.22

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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.