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Finding the Fourth Proportional to 301,866.84, 416,556.12 and 165,897.96

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Solution

The fourth proportional to 301,866.84, 416,556.12 and 165,897.96 is: 228,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,866.84 : 416,556.12 = 165,897.96 : x
  2. Step 2: Convert to fraction form
    301,866.84/416,556.12 = 165,897.96/x
  3. Step 3: Cross multiply
    301,866.84x = 416,556.12 × 165,897.96
  4. Step 4: Simplify right side
    301,866.84x = 69,105,810,533.52
  5. Step 5: Solve for x
    x = 69,105,810,533.52/301,866.84
  6. Step 6: Final answer
    x = 228,928.13

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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.