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Finding the Fourth Proportional to 75,409.22, 113,643.46 and 67,922.16

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Solution

The fourth proportional to 75,409.22, 113,643.46 and 67,922.16 is: 102,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,409.22 : 113,643.46 = 67,922.16 : x
  2. Step 2: Convert to fraction form
    75,409.22/113,643.46 = 67,922.16/x
  3. Step 3: Cross multiply
    75,409.22x = 113,643.46 × 67,922.16
  4. Step 4: Simplify right side
    75,409.22x = 7,718,909,273.07
  5. Step 5: Solve for x
    x = 7,718,909,273.07/75,409.22
  6. Step 6: Final answer
    x = 102,360.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.