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Finding the Fourth Proportional to 226,007.67, 312,100.65 and 145,573.46

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Solution

The fourth proportional to 226,007.67, 312,100.65 and 145,573.46 is: 201,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,007.67 : 312,100.65 = 145,573.46 : x
  2. Step 2: Convert to fraction form
    226,007.67/312,100.65 = 145,573.46/x
  3. Step 3: Cross multiply
    226,007.67x = 312,100.65 × 145,573.46
  4. Step 4: Simplify right side
    226,007.67x = 45,433,569,200.38
  5. Step 5: Solve for x
    x = 45,433,569,200.38/226,007.67
  6. Step 6: Final answer
    x = 201,026.67

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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.