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Finding the Fourth Proportional to 164,470.68, 226,971.47 and 96,488.84

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Solution

The fourth proportional to 164,470.68, 226,971.47 and 96,488.84 is: 133,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,470.68 : 226,971.47 = 96,488.84 : x
  2. Step 2: Convert to fraction form
    164,470.68/226,971.47 = 96,488.84/x
  3. Step 3: Cross multiply
    164,470.68x = 226,971.47 × 96,488.84
  4. Step 4: Simplify right side
    164,470.68x = 21,900,212,236.09
  5. Step 5: Solve for x
    x = 21,900,212,236.09/164,470.68
  6. Step 6: Final answer
    x = 133,155.72

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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.