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Finding the Fourth Proportional to 136,957.24, 189,059.19 and 83,259.41

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Solution

The fourth proportional to 136,957.24, 189,059.19 and 83,259.41 is: 114,933.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,957.24 : 189,059.19 = 83,259.41 : x
  2. Step 2: Convert to fraction form
    136,957.24/189,059.19 = 83,259.41/x
  3. Step 3: Cross multiply
    136,957.24x = 189,059.19 × 83,259.41
  4. Step 4: Simplify right side
    136,957.24x = 15,740,955,669.18
  5. Step 5: Solve for x
    x = 15,740,955,669.18/136,957.24
  6. Step 6: Final answer
    x = 114,933.36

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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.