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Finding the Fourth Proportional to 149,877.69, 224,927.27 and 70,991.93

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Solution

The fourth proportional to 149,877.69, 224,927.27 and 70,991.93 is: 106,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,877.69 : 224,927.27 = 70,991.93 : x
  2. Step 2: Convert to fraction form
    149,877.69/224,927.27 = 70,991.93/x
  3. Step 3: Cross multiply
    149,877.69x = 224,927.27 × 70,991.93
  4. Step 4: Simplify right side
    149,877.69x = 15,968,019,527.34
  5. Step 5: Solve for x
    x = 15,968,019,527.34/149,877.69
  6. Step 6: Final answer
    x = 106,540.34

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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.