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Finding the Fourth Proportional to 205,956, 284,223.60 and 116,532

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Solution

The fourth proportional to 205,956, 284,223.60 and 116,532 is: 160,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,956 : 284,223.60 = 116,532 : x
  2. Step 2: Convert to fraction form
    205,956/284,223.60 = 116,532/x
  3. Step 3: Cross multiply
    205,956x = 284,223.60 × 116,532
  4. Step 4: Simplify right side
    205,956x = 33,121,144,555.20
  5. Step 5: Solve for x
    x = 33,121,144,555.20/205,956
  6. Step 6: Final answer
    x = 160,816.60

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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.