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Finding the Fourth Proportional to 229,009.23, 315,742.14 and 163,676.03

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Solution

The fourth proportional to 229,009.23, 315,742.14 and 163,676.03 is: 225,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,009.23 : 315,742.14 = 163,676.03 : x
  2. Step 2: Convert to fraction form
    229,009.23/315,742.14 = 163,676.03/x
  3. Step 3: Cross multiply
    229,009.23x = 315,742.14 × 163,676.03
  4. Step 4: Simplify right side
    229,009.23x = 51,679,418,400.19
  5. Step 5: Solve for x
    x = 51,679,418,400.19/229,009.23
  6. Step 6: Final answer
    x = 225,665.22

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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.