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Finding the Fourth Proportional to 199,445.61, 299,166.12 and 57,294.37

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Solution

The fourth proportional to 199,445.61, 299,166.12 and 57,294.37 is: 85,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,445.61 : 299,166.12 = 57,294.37 : x
  2. Step 2: Convert to fraction form
    199,445.61/299,166.12 = 57,294.37/x
  3. Step 3: Cross multiply
    199,445.61x = 299,166.12 × 57,294.37
  4. Step 4: Simplify right side
    199,445.61x = 17,140,533,622.83
  5. Step 5: Solve for x
    x = 17,140,533,622.83/199,445.61
  6. Step 6: Final answer
    x = 85,940.89

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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.