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Finding the Fourth Proportional to 82,098.26, 122,907.46 and 74,218.92

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Solution

The fourth proportional to 82,098.26, 122,907.46 and 74,218.92 is: 111,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,098.26 : 122,907.46 = 74,218.92 : x
  2. Step 2: Convert to fraction form
    82,098.26/122,907.46 = 74,218.92/x
  3. Step 3: Cross multiply
    82,098.26x = 122,907.46 × 74,218.92
  4. Step 4: Simplify right side
    82,098.26x = 9,122,058,941.14
  5. Step 5: Solve for x
    x = 9,122,058,941.14/82,098.26
  6. Step 6: Final answer
    x = 111,111.48

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1.5x scale

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.