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Finding the Fourth Proportional to 201,901, 278,364.60 and 165,468.33

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Solution

The fourth proportional to 201,901, 278,364.60 and 165,468.33 is: 228,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,901 : 278,364.60 = 165,468.33 : x
  2. Step 2: Convert to fraction form
    201,901/278,364.60 = 165,468.33/x
  3. Step 3: Cross multiply
    201,901x = 278,364.60 × 165,468.33
  4. Step 4: Simplify right side
    201,901x = 46,060,525,493.12
  5. Step 5: Solve for x
    x = 46,060,525,493.12/201,901
  6. Step 6: Final answer
    x = 228,134.21

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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.