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Finding the Fourth Proportional to 301,087.68, 415,478.40 and 165,099.84

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Solution

The fourth proportional to 301,087.68, 415,478.40 and 165,099.84 is: 227,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,087.68 : 415,478.40 = 165,099.84 : x
  2. Step 2: Convert to fraction form
    301,087.68/415,478.40 = 165,099.84/x
  3. Step 3: Cross multiply
    301,087.68x = 415,478.40 × 165,099.84
  4. Step 4: Simplify right side
    301,087.68x = 68,595,417,363.46
  5. Step 5: Solve for x
    x = 68,595,417,363.46/301,087.68
  6. Step 6: Final answer
    x = 227,825.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.