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Finding the Fourth Proportional to 296,178.18, 408,735.27 and 162,042.18

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Solution

The fourth proportional to 296,178.18, 408,735.27 and 162,042.18 is: 223,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,178.18 : 408,735.27 = 162,042.18 : x
  2. Step 2: Convert to fraction form
    296,178.18/408,735.27 = 162,042.18/x
  3. Step 3: Cross multiply
    296,178.18x = 408,735.27 × 162,042.18
  4. Step 4: Simplify right side
    296,178.18x = 66,232,354,193.69
  5. Step 5: Solve for x
    x = 66,232,354,193.69/296,178.18
  6. Step 6: Final answer
    x = 223,623.34

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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.