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Finding the Fourth Proportional to 165,830.34, 228,846.09 and 90,378.84

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Solution

The fourth proportional to 165,830.34, 228,846.09 and 90,378.84 is: 124,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,830.34 : 228,846.09 = 90,378.84 : x
  2. Step 2: Convert to fraction form
    165,830.34/228,846.09 = 90,378.84/x
  3. Step 3: Cross multiply
    165,830.34x = 228,846.09 × 90,378.84
  4. Step 4: Simplify right side
    165,830.34x = 20,682,844,152.74
  5. Step 5: Solve for x
    x = 20,682,844,152.74/165,830.34
  6. Step 6: Final answer
    x = 124,722.92

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