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Finding the Fourth Proportional to 122,864.92, 169,605.88 and 82,602.02

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Solution

The fourth proportional to 122,864.92, 169,605.88 and 82,602.02 is: 114,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,864.92 : 169,605.88 = 82,602.02 : x
  2. Step 2: Convert to fraction form
    122,864.92/169,605.88 = 82,602.02/x
  3. Step 3: Cross multiply
    122,864.92x = 169,605.88 × 82,602.02
  4. Step 4: Simplify right side
    122,864.92x = 14,009,788,291.88
  5. Step 5: Solve for x
    x = 14,009,788,291.88/122,864.92
  6. Step 6: Final answer
    x = 114,025.94

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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.