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Finding the Fourth Proportional to 194,473.50, 268,366.71 and 109,585.50

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Solution

The fourth proportional to 194,473.50, 268,366.71 and 109,585.50 is: 151,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,473.50 : 268,366.71 = 109,585.50 : x
  2. Step 2: Convert to fraction form
    194,473.50/268,366.71 = 109,585.50/x
  3. Step 3: Cross multiply
    194,473.50x = 268,366.71 × 109,585.50
  4. Step 4: Simplify right side
    194,473.50x = 29,409,100,098.71
  5. Step 5: Solve for x
    x = 29,409,100,098.71/194,473.50
  6. Step 6: Final answer
    x = 151,224.20

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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.