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Finding the Fourth Proportional to 164,653.76, 227,232.64 and 100,982.88

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Solution

The fourth proportional to 164,653.76, 227,232.64 and 100,982.88 is: 139,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,653.76 : 227,232.64 = 100,982.88 : x
  2. Step 2: Convert to fraction form
    164,653.76/227,232.64 = 100,982.88/x
  3. Step 3: Cross multiply
    164,653.76x = 227,232.64 × 100,982.88
  4. Step 4: Simplify right side
    164,653.76x = 22,946,606,417.20
  5. Step 5: Solve for x
    x = 22,946,606,417.20/164,653.76
  6. Step 6: Final answer
    x = 139,362.78

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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.