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Finding the Fourth Proportional to 194,509.50, 268,423.11 and 105,085.50

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Solution

The fourth proportional to 194,509.50, 268,423.11 and 105,085.50 is: 145,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,509.50 : 268,423.11 = 105,085.50 : x
  2. Step 2: Convert to fraction form
    194,509.50/268,423.11 = 105,085.50/x
  3. Step 3: Cross multiply
    194,509.50x = 268,423.11 × 105,085.50
  4. Step 4: Simplify right side
    194,509.50x = 28,207,376,725.91
  5. Step 5: Solve for x
    x = 28,207,376,725.91/194,509.50
  6. Step 6: Final answer
    x = 145,017.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.