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Finding the Fourth Proportional to 164,838, 227,476.44 and 89,386.56

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Solution

The fourth proportional to 164,838, 227,476.44 and 89,386.56 is: 123,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,838 : 227,476.44 = 89,386.56 : x
  2. Step 2: Convert to fraction form
    164,838/227,476.44 = 89,386.56/x
  3. Step 3: Cross multiply
    164,838x = 227,476.44 × 89,386.56
  4. Step 4: Simplify right side
    164,838x = 20,333,336,452.65
  5. Step 5: Solve for x
    x = 20,333,336,452.65/164,838
  6. Step 6: Final answer
    x = 123,353.45

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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.