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Finding the Fourth Proportional to 199,836.92, 299,802.48 and 64,900.53

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Solution

The fourth proportional to 199,836.92, 299,802.48 and 64,900.53 is: 97,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,836.92 : 299,802.48 = 64,900.53 : x
  2. Step 2: Convert to fraction form
    199,836.92/299,802.48 = 64,900.53/x
  3. Step 3: Cross multiply
    199,836.92x = 299,802.48 × 64,900.53
  4. Step 4: Simplify right side
    199,836.92x = 19,457,339,847.31
  5. Step 5: Solve for x
    x = 19,457,339,847.31/199,836.92
  6. Step 6: Final answer
    x = 97,366.09

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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.