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Finding the Fourth Proportional to 224,897.32, 337,401.29 and 158,467.19

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Solution

The fourth proportional to 224,897.32, 337,401.29 and 158,467.19 is: 237,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,897.32 : 337,401.29 = 158,467.19 : x
  2. Step 2: Convert to fraction form
    224,897.32/337,401.29 = 158,467.19/x
  3. Step 3: Cross multiply
    224,897.32x = 337,401.29 × 158,467.19
  4. Step 4: Simplify right side
    224,897.32x = 53,467,035,568.35
  5. Step 5: Solve for x
    x = 53,467,035,568.35/224,897.32
  6. Step 6: Final answer
    x = 237,739.77

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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.