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Finding the Fourth Proportional to 150,207.90, 224,728.65 and 97,719.90

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Solution

The fourth proportional to 150,207.90, 224,728.65 and 97,719.90 is: 146,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,207.90 : 224,728.65 = 97,719.90 : x
  2. Step 2: Convert to fraction form
    150,207.90/224,728.65 = 97,719.90/x
  3. Step 3: Cross multiply
    150,207.90x = 224,728.65 × 97,719.90
  4. Step 4: Simplify right side
    150,207.90x = 21,960,461,205.14
  5. Step 5: Solve for x
    x = 21,960,461,205.14/150,207.90
  6. Step 6: Final answer
    x = 146,200.44

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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.