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Finding the Fourth Proportional to 252,122, 347,945.56 and 154,047.22

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Solution

The fourth proportional to 252,122, 347,945.56 and 154,047.22 is: 212,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,122 : 347,945.56 = 154,047.22 : x
  2. Step 2: Convert to fraction form
    252,122/347,945.56 = 154,047.22/x
  3. Step 3: Cross multiply
    252,122x = 347,945.56 × 154,047.22
  4. Step 4: Simplify right side
    252,122x = 53,600,046,229.34
  5. Step 5: Solve for x
    x = 53,600,046,229.34/252,122
  6. Step 6: Final answer
    x = 212,595.67

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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.