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Finding the Fourth Proportional to 164,886, 227,542.70 and 93,264.48

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Solution

The fourth proportional to 164,886, 227,542.70 and 93,264.48 is: 128,704.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,886 : 227,542.70 = 93,264.48 : x
  2. Step 2: Convert to fraction form
    164,886/227,542.70 = 93,264.48/x
  3. Step 3: Cross multiply
    164,886x = 227,542.70 × 93,264.48
  4. Step 4: Simplify right side
    164,886x = 21,221,651,593.30
  5. Step 5: Solve for x
    x = 21,221,651,593.30/164,886
  6. Step 6: Final answer
    x = 128,704.99

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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.