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Finding the Fourth Proportional to 194,706.80, 268,752.88 and 114,151.76

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Solution

The fourth proportional to 194,706.80, 268,752.88 and 114,151.76 is: 157,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,706.80 : 268,752.88 = 114,151.76 : x
  2. Step 2: Convert to fraction form
    194,706.80/268,752.88 = 114,151.76/x
  3. Step 3: Cross multiply
    194,706.80x = 268,752.88 × 114,151.76
  4. Step 4: Simplify right side
    194,706.80x = 30,678,614,257.07
  5. Step 5: Solve for x
    x = 30,678,614,257.07/194,706.80
  6. Step 6: Final answer
    x = 157,563.14

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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.