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Finding the Fourth Proportional to 229,171.40, 343,757.10 and 96,007.40

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Solution

The fourth proportional to 229,171.40, 343,757.10 and 96,007.40 is: 144,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,171.40 : 343,757.10 = 96,007.40 : x
  2. Step 2: Convert to fraction form
    229,171.40/343,757.10 = 96,007.40/x
  3. Step 3: Cross multiply
    229,171.40x = 343,757.10 × 96,007.40
  4. Step 4: Simplify right side
    229,171.40x = 33,003,225,402.54
  5. Step 5: Solve for x
    x = 33,003,225,402.54/229,171.40
  6. Step 6: Final answer
    x = 144,011.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.