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Finding the Fourth Proportional to 299,096.97, 448,495.53 and 99,347.33

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Solution

The fourth proportional to 299,096.97, 448,495.53 and 99,347.33 is: 148,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,096.97 : 448,495.53 = 99,347.33 : x
  2. Step 2: Convert to fraction form
    299,096.97/448,495.53 = 99,347.33/x
  3. Step 3: Cross multiply
    299,096.97x = 448,495.53 × 99,347.33
  4. Step 4: Simplify right side
    299,096.97x = 44,556,831,179.96
  5. Step 5: Solve for x
    x = 44,556,831,179.96/299,096.97
  6. Step 6: Final answer
    x = 148,971.19

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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.