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Finding the Fourth Proportional to 312,467.96, 468,726.23 and 102,127.16

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Solution

The fourth proportional to 312,467.96, 468,726.23 and 102,127.16 is: 153,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,467.96 : 468,726.23 = 102,127.16 : x
  2. Step 2: Convert to fraction form
    312,467.96/468,726.23 = 102,127.16/x
  3. Step 3: Cross multiply
    312,467.96x = 468,726.23 × 102,127.16
  4. Step 4: Simplify right side
    312,467.96x = 47,869,675,833.14
  5. Step 5: Solve for x
    x = 47,869,675,833.14/312,467.96
  6. Step 6: Final answer
    x = 153,198.67

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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.