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Finding the Fourth Proportional to 197,676.96, 296,516.04 and 47,916.66

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Solution

The fourth proportional to 197,676.96, 296,516.04 and 47,916.66 is: 71,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,676.96 : 296,516.04 = 47,916.66 : x
  2. Step 2: Convert to fraction form
    197,676.96/296,516.04 = 47,916.66/x
  3. Step 3: Cross multiply
    197,676.96x = 296,516.04 × 47,916.66
  4. Step 4: Simplify right side
    197,676.96x = 14,208,058,273.23
  5. Step 5: Solve for x
    x = 14,208,058,273.23/197,676.96
  6. Step 6: Final answer
    x = 71,875.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.