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Finding the Fourth Proportional to 229,321.44, 316,446.24 and 128,700

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Solution

The fourth proportional to 229,321.44, 316,446.24 and 128,700 is: 177,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,321.44 : 316,446.24 = 128,700 : x
  2. Step 2: Convert to fraction form
    229,321.44/316,446.24 = 128,700/x
  3. Step 3: Cross multiply
    229,321.44x = 316,446.24 × 128,700
  4. Step 4: Simplify right side
    229,321.44x = 40,726,631,088
  5. Step 5: Solve for x
    x = 40,726,631,088/229,321.44
  6. Step 6: Final answer
    x = 177,596.26

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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.