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Finding the Fourth Proportional to 248,418.24, 342,758.88 and 140,964

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Solution

The fourth proportional to 248,418.24, 342,758.88 and 140,964 is: 194,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,418.24 : 342,758.88 = 140,964 : x
  2. Step 2: Convert to fraction form
    248,418.24/342,758.88 = 140,964/x
  3. Step 3: Cross multiply
    248,418.24x = 342,758.88 × 140,964
  4. Step 4: Simplify right side
    248,418.24x = 48,316,662,760.32
  5. Step 5: Solve for x
    x = 48,316,662,760.32/248,418.24
  6. Step 6: Final answer
    x = 194,497.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.