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Finding the Fourth Proportional to 122,882.14, 169,605.01 and 80,416.07

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Solution

The fourth proportional to 122,882.14, 169,605.01 and 80,416.07 is: 110,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,882.14 : 169,605.01 = 80,416.07 : x
  2. Step 2: Convert to fraction form
    122,882.14/169,605.01 = 80,416.07/x
  3. Step 3: Cross multiply
    122,882.14x = 169,605.01 × 80,416.07
  4. Step 4: Simplify right side
    122,882.14x = 13,638,967,106.41
  5. Step 5: Solve for x
    x = 13,638,967,106.41/122,882.14
  6. Step 6: Final answer
    x = 110,992.27

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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.