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Finding the Fourth Proportional to 248,643.80, 343,125.24 and 135,466.64

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Solution

The fourth proportional to 248,643.80, 343,125.24 and 135,466.64 is: 186,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,643.80 : 343,125.24 = 135,466.64 : x
  2. Step 2: Convert to fraction form
    248,643.80/343,125.24 = 135,466.64/x
  3. Step 3: Cross multiply
    248,643.80x = 343,125.24 × 135,466.64
  4. Step 4: Simplify right side
    248,643.80x = 46,482,023,361.99
  5. Step 5: Solve for x
    x = 46,482,023,361.99/248,643.80
  6. Step 6: Final answer
    x = 186,942.22

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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.