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Finding the Fourth Proportional to 292,017.78, 402,990.39 and 164,668.50

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Solution

The fourth proportional to 292,017.78, 402,990.39 and 164,668.50 is: 227,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,017.78 : 402,990.39 = 164,668.50 : x
  2. Step 2: Convert to fraction form
    292,017.78/402,990.39 = 164,668.50/x
  3. Step 3: Cross multiply
    292,017.78x = 402,990.39 × 164,668.50
  4. Step 4: Simplify right side
    292,017.78x = 66,359,823,035.72
  5. Step 5: Solve for x
    x = 66,359,823,035.72/292,017.78
  6. Step 6: Final answer
    x = 227,245.83

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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.