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Finding the Fourth Proportional to 154,977, 232,465.50 and 38,241

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Solution

The fourth proportional to 154,977, 232,465.50 and 38,241 is: 57,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,977 : 232,465.50 = 38,241 : x
  2. Step 2: Convert to fraction form
    154,977/232,465.50 = 38,241/x
  3. Step 3: Cross multiply
    154,977x = 232,465.50 × 38,241
  4. Step 4: Simplify right side
    154,977x = 8,889,713,185.50
  5. Step 5: Solve for x
    x = 8,889,713,185.50/154,977
  6. Step 6: Final answer
    x = 57,361.50

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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.