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Finding the Fourth Proportional to 235,367.16, 353,013.53 and 102,211.67

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Solution

The fourth proportional to 235,367.16, 353,013.53 and 102,211.67 is: 153,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,367.16 : 353,013.53 = 102,211.67 : x
  2. Step 2: Convert to fraction form
    235,367.16/353,013.53 = 102,211.67/x
  3. Step 3: Cross multiply
    235,367.16x = 353,013.53 × 102,211.67
  4. Step 4: Simplify right side
    235,367.16x = 36,082,100,157.77
  5. Step 5: Solve for x
    x = 36,082,100,157.77/235,367.16
  6. Step 6: Final answer
    x = 153,301.34

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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.