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Finding the Fourth Proportional to 194,705.74, 268,706.46 and 109,820.98

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Solution

The fourth proportional to 194,705.74, 268,706.46 and 109,820.98 is: 151,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,705.74 : 268,706.46 = 109,820.98 : x
  2. Step 2: Convert to fraction form
    194,705.74/268,706.46 = 109,820.98/x
  3. Step 3: Cross multiply
    194,705.74x = 268,706.46 × 109,820.98
  4. Step 4: Simplify right side
    194,705.74x = 29,509,606,769.53
  5. Step 5: Solve for x
    x = 29,509,606,769.53/194,705.74
  6. Step 6: Final answer
    x = 151,560.02

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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.