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Finding the Fourth Proportional to 194,930.66, 269,005.12 and 105,506.66

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Solution

The fourth proportional to 194,930.66, 269,005.12 and 105,506.66 is: 145,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,930.66 : 269,005.12 = 105,506.66 : x
  2. Step 2: Convert to fraction form
    194,930.66/269,005.12 = 105,506.66/x
  3. Step 3: Cross multiply
    194,930.66x = 269,005.12 × 105,506.66
  4. Step 4: Simplify right side
    194,930.66x = 28,381,829,861.54
  5. Step 5: Solve for x
    x = 28,381,829,861.54/194,930.66
  6. Step 6: Final answer
    x = 145,599.62

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1.5x scale

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.