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Finding the Fourth Proportional to 201,706.70, 278,392.59 and 116,823.75

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Solution

The fourth proportional to 201,706.70, 278,392.59 and 116,823.75 is: 161,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,706.70 : 278,392.59 = 116,823.75 : x
  2. Step 2: Convert to fraction form
    201,706.70/278,392.59 = 116,823.75/x
  3. Step 3: Cross multiply
    201,706.70x = 278,392.59 × 116,823.75
  4. Step 4: Simplify right side
    201,706.70x = 32,522,866,336.01
  5. Step 5: Solve for x
    x = 32,522,866,336.01/201,706.70
  6. Step 6: Final answer
    x = 161,238.41

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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.