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Finding the Fourth Proportional to 224,828.16, 337,475.83 and 150,467.93

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Solution

The fourth proportional to 224,828.16, 337,475.83 and 150,467.93 is: 225,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,828.16 : 337,475.83 = 150,467.93 : x
  2. Step 2: Convert to fraction form
    224,828.16/337,475.83 = 150,467.93/x
  3. Step 3: Cross multiply
    224,828.16x = 337,475.83 × 150,467.93
  4. Step 4: Simplify right side
    224,828.16x = 50,779,289,565.13
  5. Step 5: Solve for x
    x = 50,779,289,565.13/224,828.16
  6. Step 6: Final answer
    x = 225,858.23

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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.