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Finding the Fourth Proportional to 150,168.40, 224,669.40 and 97,680.40

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Solution

The fourth proportional to 150,168.40, 224,669.40 and 97,680.40 is: 146,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,168.40 : 224,669.40 = 97,680.40 : x
  2. Step 2: Convert to fraction form
    150,168.40/224,669.40 = 97,680.40/x
  3. Step 3: Cross multiply
    150,168.40x = 224,669.40 × 97,680.40
  4. Step 4: Simplify right side
    150,168.40x = 21,945,796,859.76
  5. Step 5: Solve for x
    x = 21,945,796,859.76/150,168.40
  6. Step 6: Final answer
    x = 146,141.24

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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.