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Finding the Fourth Proportional to 164,798.56, 227,420.64 and 93,192.64

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Solution

The fourth proportional to 164,798.56, 227,420.64 and 93,192.64 is: 128,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,798.56 : 227,420.64 = 93,192.64 : x
  2. Step 2: Convert to fraction form
    164,798.56/227,420.64 = 93,192.64/x
  3. Step 3: Cross multiply
    164,798.56x = 227,420.64 × 93,192.64
  4. Step 4: Simplify right side
    164,798.56x = 21,193,929,832.09
  5. Step 5: Solve for x
    x = 21,193,929,832.09/164,798.56
  6. Step 6: Final answer
    x = 128,605.07

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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.