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Finding the Fourth Proportional to 248,877.92, 343,505.16 and 146,865.44

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Solution

The fourth proportional to 248,877.92, 343,505.16 and 146,865.44 is: 202,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,877.92 : 343,505.16 = 146,865.44 : x
  2. Step 2: Convert to fraction form
    248,877.92/343,505.16 = 146,865.44/x
  3. Step 3: Cross multiply
    248,877.92x = 343,505.16 × 146,865.44
  4. Step 4: Simplify right side
    248,877.92x = 50,449,036,465.67
  5. Step 5: Solve for x
    x = 50,449,036,465.67/248,877.92
  6. Step 6: Final answer
    x = 202,705.96

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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.