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Finding the Fourth Proportional to 164,798.30, 227,388.12 and 96,826.34

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Solution

The fourth proportional to 164,798.30, 227,388.12 and 96,826.34 is: 133,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,798.30 : 227,388.12 = 96,826.34 : x
  2. Step 2: Convert to fraction form
    164,798.30/227,388.12 = 96,826.34/x
  3. Step 3: Cross multiply
    164,798.30x = 227,388.12 × 96,826.34
  4. Step 4: Simplify right side
    164,798.30x = 22,017,159,419.08
  5. Step 5: Solve for x
    x = 22,017,159,419.08/164,798.30
  6. Step 6: Final answer
    x = 133,600.65

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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.