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Finding the Fourth Proportional to 292,021.83, 402,989.37 and 162,958.95

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Solution

The fourth proportional to 292,021.83, 402,989.37 and 162,958.95 is: 224,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,021.83 : 402,989.37 = 162,958.95 : x
  2. Step 2: Convert to fraction form
    292,021.83/402,989.37 = 162,958.95/x
  3. Step 3: Cross multiply
    292,021.83x = 402,989.37 × 162,958.95
  4. Step 4: Simplify right side
    292,021.83x = 65,670,723,310.18
  5. Step 5: Solve for x
    x = 65,670,723,310.18/292,021.83
  6. Step 6: Final answer
    x = 224,882.93

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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.