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Finding the Fourth Proportional to 133,886.16, 200,512.60 and 116,260.20

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Solution

The fourth proportional to 133,886.16, 200,512.60 and 116,260.20 is: 174,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,886.16 : 200,512.60 = 116,260.20 : x
  2. Step 2: Convert to fraction form
    133,886.16/200,512.60 = 116,260.20/x
  3. Step 3: Cross multiply
    133,886.16x = 200,512.60 × 116,260.20
  4. Step 4: Simplify right side
    133,886.16x = 23,311,634,978.52
  5. Step 5: Solve for x
    x = 23,311,634,978.52/133,886.16
  6. Step 6: Final answer
    x = 174,115.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.