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Finding the Fourth Proportional to 299,070.86, 448,651.17 and 96,599.34

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Solution

The fourth proportional to 299,070.86, 448,651.17 and 96,599.34 is: 144,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,070.86 : 448,651.17 = 96,599.34 : x
  2. Step 2: Convert to fraction form
    299,070.86/448,651.17 = 96,599.34/x
  3. Step 3: Cross multiply
    299,070.86x = 448,651.17 × 96,599.34
  4. Step 4: Simplify right side
    299,070.86x = 43,339,406,912.23
  5. Step 5: Solve for x
    x = 43,339,406,912.23/299,070.86
  6. Step 6: Final answer
    x = 144,913.51

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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.