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Finding the Fourth Proportional to 292,092.30, 438,138.45 and 165,683.70

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Solution

The fourth proportional to 292,092.30, 438,138.45 and 165,683.70 is: 248,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,092.30 : 438,138.45 = 165,683.70 : x
  2. Step 2: Convert to fraction form
    292,092.30/438,138.45 = 165,683.70/x
  3. Step 3: Cross multiply
    292,092.30x = 438,138.45 × 165,683.70
  4. Step 4: Simplify right side
    292,092.30x = 72,592,399,508.27
  5. Step 5: Solve for x
    x = 72,592,399,508.27/292,092.30
  6. Step 6: Final answer
    x = 248,525.55

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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.