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Finding the Fourth Proportional to 201,706.19, 278,391.90 and 116,823.25

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Solution

The fourth proportional to 201,706.19, 278,391.90 and 116,823.25 is: 161,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,706.19 : 278,391.90 = 116,823.25 : x
  2. Step 2: Convert to fraction form
    201,706.19/278,391.90 = 116,823.25/x
  3. Step 3: Cross multiply
    201,706.19x = 278,391.90 × 116,823.25
  4. Step 4: Simplify right side
    201,706.19x = 32,522,646,531.68
  5. Step 5: Solve for x
    x = 32,522,646,531.68/201,706.19
  6. Step 6: Final answer
    x = 161,237.72

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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.