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Finding the Fourth Proportional to 194,906.45, 268,970.88 and 105,482.45

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Solution

The fourth proportional to 194,906.45, 268,970.88 and 105,482.45 is: 145,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,906.45 : 268,970.88 = 105,482.45 : x
  2. Step 2: Convert to fraction form
    194,906.45/268,970.88 = 105,482.45/x
  3. Step 3: Cross multiply
    194,906.45x = 268,970.88 × 105,482.45
  4. Step 4: Simplify right side
    194,906.45x = 28,371,706,056.20
  5. Step 5: Solve for x
    x = 28,371,706,056.20/194,906.45
  6. Step 6: Final answer
    x = 145,565.77

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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.