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Finding the Fourth Proportional to 301,626.10, 452,494.76 and 99,233.58

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Solution

The fourth proportional to 301,626.10, 452,494.76 and 99,233.58 is: 148,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,626.10 : 452,494.76 = 99,233.58 : x
  2. Step 2: Convert to fraction form
    301,626.10/452,494.76 = 99,233.58/x
  3. Step 3: Cross multiply
    301,626.10x = 452,494.76 × 99,233.58
  4. Step 4: Simplify right side
    301,626.10x = 44,902,674,469.87
  5. Step 5: Solve for x
    x = 44,902,674,469.87/301,626.10
  6. Step 6: Final answer
    x = 148,868.67

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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.