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Finding the Fourth Proportional to 84,205, 116,202.91 and 46,479.26

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Solution

The fourth proportional to 84,205, 116,202.91 and 46,479.26 is: 64,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,205 : 116,202.91 = 46,479.26 : x
  2. Step 2: Convert to fraction form
    84,205/116,202.91 = 46,479.26/x
  3. Step 3: Cross multiply
    84,205x = 116,202.91 × 46,479.26
  4. Step 4: Simplify right side
    84,205x = 5,401,025,266.65
  5. Step 5: Solve for x
    x = 5,401,025,266.65/84,205
  6. Step 6: Final answer
    x = 64,141.38

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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.