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Finding the Fourth Proportional to 299,096.54, 448,494.88 and 99,346.89

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Solution

The fourth proportional to 299,096.54, 448,494.88 and 99,346.89 is: 148,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,096.54 : 448,494.88 = 99,346.89 : x
  2. Step 2: Convert to fraction form
    299,096.54/448,494.88 = 99,346.89/x
  3. Step 3: Cross multiply
    299,096.54x = 448,494.88 × 99,346.89
  4. Step 4: Simplify right side
    299,096.54x = 44,556,571,508.92
  5. Step 5: Solve for x
    x = 44,556,571,508.92/299,096.54
  6. Step 6: Final answer
    x = 148,970.54

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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.