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Finding the Fourth Proportional to 254,681.94, 381,497.97 and 149,181.06

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Solution

The fourth proportional to 254,681.94, 381,497.97 and 149,181.06 is: 223,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,681.94 : 381,497.97 = 149,181.06 : x
  2. Step 2: Convert to fraction form
    254,681.94/381,497.97 = 149,181.06/x
  3. Step 3: Cross multiply
    254,681.94x = 381,497.97 × 149,181.06
  4. Step 4: Simplify right side
    254,681.94x = 56,912,271,552.45
  5. Step 5: Solve for x
    x = 56,912,271,552.45/254,681.94
  6. Step 6: Final answer
    x = 223,464.10

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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.