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Finding the Fourth Proportional to 122,862.54, 169,602.61 and 82,599.65

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Solution

The fourth proportional to 122,862.54, 169,602.61 and 82,599.65 is: 114,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,862.54 : 169,602.61 = 82,599.65 : x
  2. Step 2: Convert to fraction form
    122,862.54/169,602.61 = 82,599.65/x
  3. Step 3: Cross multiply
    122,862.54x = 169,602.61 × 82,599.65
  4. Step 4: Simplify right side
    122,862.54x = 14,009,114,964.08
  5. Step 5: Solve for x
    x = 14,009,114,964.08/122,862.54
  6. Step 6: Final answer
    x = 114,022.67

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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.