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Finding the Fourth Proportional to 149,133.16, 205,799.70 and 82,065.16

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Solution

The fourth proportional to 149,133.16, 205,799.70 and 82,065.16 is: 113,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133.16 : 205,799.70 = 82,065.16 : x
  2. Step 2: Convert to fraction form
    149,133.16/205,799.70 = 82,065.16/x
  3. Step 3: Cross multiply
    149,133.16x = 205,799.70 × 82,065.16
  4. Step 4: Simplify right side
    149,133.16x = 16,888,985,308.45
  5. Step 5: Solve for x
    x = 16,888,985,308.45/149,133.16
  6. Step 6: Final answer
    x = 113,247.69

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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.