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Finding the Fourth Proportional to 229,163, 316,247.10 and 128,563.16

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Solution

The fourth proportional to 229,163, 316,247.10 and 128,563.16 is: 177,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,163 : 316,247.10 = 128,563.16 : x
  2. Step 2: Convert to fraction form
    229,163/316,247.10 = 128,563.16/x
  3. Step 3: Cross multiply
    229,163x = 316,247.10 × 128,563.16
  4. Step 4: Simplify right side
    229,163x = 40,657,726,516.84
  5. Step 5: Solve for x
    x = 40,657,726,516.84/229,163
  6. Step 6: Final answer
    x = 177,418.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.