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Finding the Fourth Proportional to 403,342.50, 605,051.82 and 119,034.12

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Solution

The fourth proportional to 403,342.50, 605,051.82 and 119,034.12 is: 178,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,342.50 : 605,051.82 = 119,034.12 : x
  2. Step 2: Convert to fraction form
    403,342.50/605,051.82 = 119,034.12/x
  3. Step 3: Cross multiply
    403,342.50x = 605,051.82 × 119,034.12
  4. Step 4: Simplify right side
    403,342.50x = 72,021,810,948.10
  5. Step 5: Solve for x
    x = 72,021,810,948.10/403,342.50
  6. Step 6: Final answer
    x = 178,562.42

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Why These Related Problems?

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