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Finding the Fourth Proportional to 194,706.74, 268,707.84 and 109,821.98

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Solution

The fourth proportional to 194,706.74, 268,707.84 and 109,821.98 is: 151,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,706.74 : 268,707.84 = 109,821.98 : x
  2. Step 2: Convert to fraction form
    194,706.74/268,707.84 = 109,821.98/x
  3. Step 3: Cross multiply
    194,706.74x = 268,707.84 × 109,821.98
  4. Step 4: Simplify right side
    194,706.74x = 29,510,027,030.32
  5. Step 5: Solve for x
    x = 29,510,027,030.32/194,706.74
  6. Step 6: Final answer
    x = 151,561.40

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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.