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Finding the Fourth Proportional to 113,800.26, 157,020.92 and 65,392.84

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Solution

The fourth proportional to 113,800.26, 157,020.92 and 65,392.84 is: 90,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,800.26 : 157,020.92 = 65,392.84 : x
  2. Step 2: Convert to fraction form
    113,800.26/157,020.92 = 65,392.84/x
  3. Step 3: Cross multiply
    113,800.26x = 157,020.92 × 65,392.84
  4. Step 4: Simplify right side
    113,800.26x = 10,268,043,037.55
  5. Step 5: Solve for x
    x = 10,268,043,037.55/113,800.26
  6. Step 6: Final answer
    x = 90,228.64

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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.