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Finding the Fourth Proportional to 202,166.70, 302,666.85 and 123,434.70

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Solution

The fourth proportional to 202,166.70, 302,666.85 and 123,434.70 is: 184,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,166.70 : 302,666.85 = 123,434.70 : x
  2. Step 2: Convert to fraction form
    202,166.70/302,666.85 = 123,434.70/x
  3. Step 3: Cross multiply
    202,166.70x = 302,666.85 × 123,434.70
  4. Step 4: Simplify right side
    202,166.70x = 37,359,591,829.70
  5. Step 5: Solve for x
    x = 37,359,591,829.70/202,166.70
  6. Step 6: Final answer
    x = 184,795.97

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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.