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Finding the Fourth Proportional to 301,099.19, 415,478.95 and 165,097.35

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Solution

The fourth proportional to 301,099.19, 415,478.95 and 165,097.35 is: 227,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,099.19 : 415,478.95 = 165,097.35 : x
  2. Step 2: Convert to fraction form
    301,099.19/415,478.95 = 165,097.35/x
  3. Step 3: Cross multiply
    301,099.19x = 415,478.95 × 165,097.35
  4. Step 4: Simplify right side
    301,099.19x = 68,594,473,213.04
  5. Step 5: Solve for x
    x = 68,594,473,213.04/301,099.19
  6. Step 6: Final answer
    x = 227,813.55

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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.