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Finding the Fourth Proportional to 194,689.96, 268,621.36 and 114,074.17

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Solution

The fourth proportional to 194,689.96, 268,621.36 and 114,074.17 is: 157,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,689.96 : 268,621.36 = 114,074.17 : x
  2. Step 2: Convert to fraction form
    194,689.96/268,621.36 = 114,074.17/x
  3. Step 3: Cross multiply
    194,689.96x = 268,621.36 × 114,074.17
  4. Step 4: Simplify right side
    194,689.96x = 30,642,758,686.27
  5. Step 5: Solve for x
    x = 30,642,758,686.27/194,689.96
  6. Step 6: Final answer
    x = 157,392.60

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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.