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Finding the Fourth Proportional to 164,695.36, 227,312.40 and 93,076.24

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Solution

The fourth proportional to 164,695.36, 227,312.40 and 93,076.24 is: 128,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,695.36 : 227,312.40 = 93,076.24 : x
  2. Step 2: Convert to fraction form
    164,695.36/227,312.40 = 93,076.24/x
  3. Step 3: Cross multiply
    164,695.36x = 227,312.40 × 93,076.24
  4. Step 4: Simplify right side
    164,695.36x = 21,157,383,497.38
  5. Step 5: Solve for x
    x = 21,157,383,497.38/164,695.36
  6. Step 6: Final answer
    x = 128,463.75

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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.