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Finding the Fourth Proportional to 263,636.64, 363,821.76 and 148,921.20

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Solution

The fourth proportional to 263,636.64, 363,821.76 and 148,921.20 is: 205,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,636.64 : 363,821.76 = 148,921.20 : x
  2. Step 2: Convert to fraction form
    263,636.64/363,821.76 = 148,921.20/x
  3. Step 3: Cross multiply
    263,636.64x = 363,821.76 × 148,921.20
  4. Step 4: Simplify right side
    263,636.64x = 54,180,773,085.31
  5. Step 5: Solve for x
    x = 54,180,773,085.31/263,636.64
  6. Step 6: Final answer
    x = 205,513.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.