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Finding the Fourth Proportional to 292,297.54, 438,466.12 and 102,734.86

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Solution

The fourth proportional to 292,297.54, 438,466.12 and 102,734.86 is: 154,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,297.54 : 438,466.12 = 102,734.86 : x
  2. Step 2: Convert to fraction form
    292,297.54/438,466.12 = 102,734.86/x
  3. Step 3: Cross multiply
    292,297.54x = 438,466.12 × 102,734.86
  4. Step 4: Simplify right side
    292,297.54x = 45,045,755,452.94
  5. Step 5: Solve for x
    x = 45,045,755,452.94/292,297.54
  6. Step 6: Final answer
    x = 154,109.25

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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.