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Finding the Fourth Proportional to 177,211, 265,780.22 and 50,817.38

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Solution

The fourth proportional to 177,211, 265,780.22 and 50,817.38 is: 76,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,211 : 265,780.22 = 50,817.38 : x
  2. Step 2: Convert to fraction form
    177,211/265,780.22 = 50,817.38/x
  3. Step 3: Cross multiply
    177,211x = 265,780.22 × 50,817.38
  4. Step 4: Simplify right side
    177,211x = 13,506,254,436.22
  5. Step 5: Solve for x
    x = 13,506,254,436.22/177,211
  6. Step 6: Final answer
    x = 76,215.67

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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.