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Finding the Fourth Proportional to 150,814.16, 207,983.56 and 97,004.24

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Solution

The fourth proportional to 150,814.16, 207,983.56 and 97,004.24 is: 133,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,814.16 : 207,983.56 = 97,004.24 : x
  2. Step 2: Convert to fraction form
    150,814.16/207,983.56 = 97,004.24/x
  3. Step 3: Cross multiply
    150,814.16x = 207,983.56 × 97,004.24
  4. Step 4: Simplify right side
    150,814.16x = 20,175,287,170.29
  5. Step 5: Solve for x
    x = 20,175,287,170.29/150,814.16
  6. Step 6: Final answer
    x = 133,775.82

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1.5x scale

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.