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Finding the Fourth Proportional to 199,834.67, 299,772.15 and 64,893.08

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Solution

The fourth proportional to 199,834.67, 299,772.15 and 64,893.08 is: 97,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,834.67 : 299,772.15 = 64,893.08 : x
  2. Step 2: Convert to fraction form
    199,834.67/299,772.15 = 64,893.08/x
  3. Step 3: Cross multiply
    199,834.67x = 299,772.15 × 64,893.08
  4. Step 4: Simplify right side
    199,834.67x = 19,453,138,111.72
  5. Step 5: Solve for x
    x = 19,453,138,111.72/199,834.67
  6. Step 6: Final answer
    x = 97,346.16

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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.