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Finding the Fourth Proportional to 202,132.80, 302,865.48 and 123,007.68

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Solution

The fourth proportional to 202,132.80, 302,865.48 and 123,007.68 is: 184,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,132.80 : 302,865.48 = 123,007.68 : x
  2. Step 2: Convert to fraction form
    202,132.80/302,865.48 = 123,007.68/x
  3. Step 3: Cross multiply
    202,132.80x = 302,865.48 × 123,007.68
  4. Step 4: Simplify right side
    202,132.80x = 37,254,780,046.89
  5. Step 5: Solve for x
    x = 37,254,780,046.89/202,132.80
  6. Step 6: Final answer
    x = 184,308.44

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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.