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Finding the Fourth Proportional to 150,732.56, 207,968.28 and 97,048.64

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Solution

The fourth proportional to 150,732.56, 207,968.28 and 97,048.64 is: 133,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,732.56 : 207,968.28 = 97,048.64 : x
  2. Step 2: Convert to fraction form
    150,732.56/207,968.28 = 97,048.64/x
  3. Step 3: Cross multiply
    150,732.56x = 207,968.28 × 97,048.64
  4. Step 4: Simplify right side
    150,732.56x = 20,183,038,737.14
  5. Step 5: Solve for x
    x = 20,183,038,737.14/150,732.56
  6. Step 6: Final answer
    x = 133,899.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.