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Finding the Fourth Proportional to 164,984.26, 227,678.16 and 93,362.98

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Solution

The fourth proportional to 164,984.26, 227,678.16 and 93,362.98 is: 128,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,984.26 : 227,678.16 = 93,362.98 : x
  2. Step 2: Convert to fraction form
    164,984.26/227,678.16 = 93,362.98/x
  3. Step 3: Cross multiply
    164,984.26x = 227,678.16 × 93,362.98
  4. Step 4: Simplify right side
    164,984.26x = 21,256,711,498.52
  5. Step 5: Solve for x
    x = 21,256,711,498.52/164,984.26
  6. Step 6: Final answer
    x = 128,840.85

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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.