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Finding the Fourth Proportional to 298,092, 411,368.04 and 162,125.94

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Solution

The fourth proportional to 298,092, 411,368.04 and 162,125.94 is: 223,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,092 : 411,368.04 = 162,125.94 : x
  2. Step 2: Convert to fraction form
    298,092/411,368.04 = 162,125.94/x
  3. Step 3: Cross multiply
    298,092x = 411,368.04 × 162,125.94
  4. Step 4: Simplify right side
    298,092x = 66,693,430,170.96
  5. Step 5: Solve for x
    x = 66,693,430,170.96/298,092
  6. Step 6: Final answer
    x = 223,734.38

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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.