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Finding the Fourth Proportional to 271,894.93, 407,883.85 and 138,702.53

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Solution

The fourth proportional to 271,894.93, 407,883.85 and 138,702.53 is: 208,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,894.93 : 407,883.85 = 138,702.53 : x
  2. Step 2: Convert to fraction form
    271,894.93/407,883.85 = 138,702.53/x
  3. Step 3: Cross multiply
    271,894.93x = 407,883.85 × 138,702.53
  4. Step 4: Simplify right side
    271,894.93x = 56,574,521,099.95
  5. Step 5: Solve for x
    x = 56,574,521,099.95/271,894.93
  6. Step 6: Final answer
    x = 208,074.94

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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.