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Finding the Fourth Proportional to 198,461.67, 297,629.73 and 65,312.25

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Solution

The fourth proportional to 198,461.67, 297,629.73 and 65,312.25 is: 97,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,461.67 : 297,629.73 = 65,312.25 : x
  2. Step 2: Convert to fraction form
    198,461.67/297,629.73 = 65,312.25/x
  3. Step 3: Cross multiply
    198,461.67x = 297,629.73 × 65,312.25
  4. Step 4: Simplify right side
    198,461.67x = 19,438,867,333.19
  5. Step 5: Solve for x
    x = 19,438,867,333.19/198,461.67
  6. Step 6: Final answer
    x = 97,947.72

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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.