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Finding the Fourth Proportional to 199,384.35, 299,114.37 and 64,484.70

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Solution

The fourth proportional to 199,384.35, 299,114.37 and 64,484.70 is: 96,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,384.35 : 299,114.37 = 64,484.70 : x
  2. Step 2: Convert to fraction form
    199,384.35/299,114.37 = 64,484.70/x
  3. Step 3: Cross multiply
    199,384.35x = 299,114.37 × 64,484.70
  4. Step 4: Simplify right side
    199,384.35x = 19,288,300,415.14
  5. Step 5: Solve for x
    x = 19,288,300,415.14/199,384.35
  6. Step 6: Final answer
    x = 96,739.29

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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.