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Finding the Fourth Proportional to 164,992.60, 227,650.42 and 100,461.08

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Solution

The fourth proportional to 164,992.60, 227,650.42 and 100,461.08 is: 138,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,992.60 : 227,650.42 = 100,461.08 : x
  2. Step 2: Convert to fraction form
    164,992.60/227,650.42 = 100,461.08/x
  3. Step 3: Cross multiply
    164,992.60x = 227,650.42 × 100,461.08
  4. Step 4: Simplify right side
    164,992.60x = 22,870,007,055.65
  5. Step 5: Solve for x
    x = 22,870,007,055.65/164,992.60
  6. Step 6: Final answer
    x = 138,612.32

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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.