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Finding the Fourth Proportional to 133,029.10, 199,057.65 and 98,037.10

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Solution

The fourth proportional to 133,029.10, 199,057.65 and 98,037.10 is: 146,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,029.10 : 199,057.65 = 98,037.10 : x
  2. Step 2: Convert to fraction form
    133,029.10/199,057.65 = 98,037.10/x
  3. Step 3: Cross multiply
    133,029.10x = 199,057.65 × 98,037.10
  4. Step 4: Simplify right side
    133,029.10x = 19,515,034,738.82
  5. Step 5: Solve for x
    x = 19,515,034,738.82/133,029.10
  6. Step 6: Final answer
    x = 146,697.49

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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.