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Finding the Fourth Proportional to 299,115.10, 448,759.53 and 96,706.89

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Solution

The fourth proportional to 299,115.10, 448,759.53 and 96,706.89 is: 145,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,115.10 : 448,759.53 = 96,706.89 : x
  2. Step 2: Convert to fraction form
    299,115.10/448,759.53 = 96,706.89/x
  3. Step 3: Cross multiply
    299,115.10x = 448,759.53 × 96,706.89
  4. Step 4: Simplify right side
    299,115.10x = 43,398,138,504.16
  5. Step 5: Solve for x
    x = 43,398,138,504.16/299,115.10
  6. Step 6: Final answer
    x = 145,088.42

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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.