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Finding the Fourth Proportional to 237,111.78, 355,272.78 and 166,843.46

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Solution

The fourth proportional to 237,111.78, 355,272.78 and 166,843.46 is: 249,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,111.78 : 355,272.78 = 166,843.46 : x
  2. Step 2: Convert to fraction form
    237,111.78/355,272.78 = 166,843.46/x
  3. Step 3: Cross multiply
    237,111.78x = 355,272.78 × 166,843.46
  4. Step 4: Simplify right side
    237,111.78x = 59,274,939,859.02
  5. Step 5: Solve for x
    x = 59,274,939,859.02/237,111.78
  6. Step 6: Final answer
    x = 249,987.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.