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Finding the Fourth Proportional to 190,577.85, 263,013.59 and 105,722.25

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Solution

The fourth proportional to 190,577.85, 263,013.59 and 105,722.25 is: 145,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,577.85 : 263,013.59 = 105,722.25 : x
  2. Step 2: Convert to fraction form
    190,577.85/263,013.59 = 105,722.25/x
  3. Step 3: Cross multiply
    190,577.85x = 263,013.59 × 105,722.25
  4. Step 4: Simplify right side
    190,577.85x = 27,806,388,515.38
  5. Step 5: Solve for x
    x = 27,806,388,515.38/190,577.85
  6. Step 6: Final answer
    x = 145,905.67

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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.