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Finding the Fourth Proportional to 199,878.96, 299,733.10 and 115,697.24

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Solution

The fourth proportional to 199,878.96, 299,733.10 and 115,697.24 is: 173,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,878.96 : 299,733.10 = 115,697.24 : x
  2. Step 2: Convert to fraction form
    199,878.96/299,733.10 = 115,697.24/x
  3. Step 3: Cross multiply
    199,878.96x = 299,733.10 × 115,697.24
  4. Step 4: Simplify right side
    199,878.96x = 34,678,292,406.64
  5. Step 5: Solve for x
    x = 34,678,292,406.64/199,878.96
  6. Step 6: Final answer
    x = 173,496.46

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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.