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Finding the Fourth Proportional to 194,657, 268,627.30 and 105,233.64

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Solution

The fourth proportional to 194,657, 268,627.30 and 105,233.64 is: 145,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,657 : 268,627.30 = 105,233.64 : x
  2. Step 2: Convert to fraction form
    194,657/268,627.30 = 105,233.64/x
  3. Step 3: Cross multiply
    194,657x = 268,627.30 × 105,233.64
  4. Step 4: Simplify right side
    194,657x = 28,268,628,582.37
  5. Step 5: Solve for x
    x = 28,268,628,582.37/194,657
  6. Step 6: Final answer
    x = 145,222.77

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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.