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Finding the Fourth Proportional to 281,636.33, 421,910.10 and 156,598.25

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Solution

The fourth proportional to 281,636.33, 421,910.10 and 156,598.25 is: 234,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,636.33 : 421,910.10 = 156,598.25 : x
  2. Step 2: Convert to fraction form
    281,636.33/421,910.10 = 156,598.25/x
  3. Step 3: Cross multiply
    281,636.33x = 421,910.10 × 156,598.25
  4. Step 4: Simplify right side
    281,636.33x = 66,070,381,207.77
  5. Step 5: Solve for x
    x = 66,070,381,207.77/281,636.33
  6. Step 6: Final answer
    x = 234,594.67

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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.