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Finding the Fourth Proportional to 201,458.24, 278,006.55 and 110,814.20

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Solution

The fourth proportional to 201,458.24, 278,006.55 and 110,814.20 is: 152,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,458.24 : 278,006.55 = 110,814.20 : x
  2. Step 2: Convert to fraction form
    201,458.24/278,006.55 = 110,814.20/x
  3. Step 3: Cross multiply
    201,458.24x = 278,006.55 × 110,814.20
  4. Step 4: Simplify right side
    201,458.24x = 30,807,073,433.01
  5. Step 5: Solve for x
    x = 30,807,073,433.01/201,458.24
  6. Step 6: Final answer
    x = 152,920.39

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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.