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Finding the Fourth Proportional to 150,205.90, 224,725.65 and 97,717.90

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Solution

The fourth proportional to 150,205.90, 224,725.65 and 97,717.90 is: 146,197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,205.90 : 224,725.65 = 97,717.90 : x
  2. Step 2: Convert to fraction form
    150,205.90/224,725.65 = 97,717.90/x
  3. Step 3: Cross multiply
    150,205.90x = 224,725.65 × 97,717.90
  4. Step 4: Simplify right side
    150,205.90x = 21,959,718,594.14
  5. Step 5: Solve for x
    x = 21,959,718,594.14/150,205.90
  6. Step 6: Final answer
    x = 146,197.44

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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.