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Finding the Fourth Proportional to 227,409.89, 313,954.20 and 151,059.84

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Solution

The fourth proportional to 227,409.89, 313,954.20 and 151,059.84 is: 208,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,409.89 : 313,954.20 = 151,059.84 : x
  2. Step 2: Convert to fraction form
    227,409.89/313,954.20 = 151,059.84/x
  3. Step 3: Cross multiply
    227,409.89x = 313,954.20 × 151,059.84
  4. Step 4: Simplify right side
    227,409.89x = 47,425,871,219.33
  5. Step 5: Solve for x
    x = 47,425,871,219.33/227,409.89
  6. Step 6: Final answer
    x = 208,547.98

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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.