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Finding the Fourth Proportional to 164,780.64, 227,408.94 and 93,161.34

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Solution

The fourth proportional to 164,780.64, 227,408.94 and 93,161.34 is: 128,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,780.64 : 227,408.94 = 93,161.34 : x
  2. Step 2: Convert to fraction form
    164,780.64/227,408.94 = 93,161.34/x
  3. Step 3: Cross multiply
    164,780.64x = 227,408.94 × 93,161.34
  4. Step 4: Simplify right side
    164,780.64x = 21,185,721,578.38
  5. Step 5: Solve for x
    x = 21,185,721,578.38/164,780.64
  6. Step 6: Final answer
    x = 128,569.24

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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.