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Finding the Fourth Proportional to 225,475.38, 311,006.25 and 145,004.67

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Solution

The fourth proportional to 225,475.38, 311,006.25 and 145,004.67 is: 200,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,475.38 : 311,006.25 = 145,004.67 : x
  2. Step 2: Convert to fraction form
    225,475.38/311,006.25 = 145,004.67/x
  3. Step 3: Cross multiply
    225,475.38x = 311,006.25 × 145,004.67
  4. Step 4: Simplify right side
    225,475.38x = 45,097,358,649.19
  5. Step 5: Solve for x
    x = 45,097,358,649.19/225,475.38
  6. Step 6: Final answer
    x = 200,010.12

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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.