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Finding the Fourth Proportional to 231,305.94, 346,681.26 and 119,039.13

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Solution

The fourth proportional to 231,305.94, 346,681.26 and 119,039.13 is: 178,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,305.94 : 346,681.26 = 119,039.13 : x
  2. Step 2: Convert to fraction form
    231,305.94/346,681.26 = 119,039.13/x
  3. Step 3: Cross multiply
    231,305.94x = 346,681.26 × 119,039.13
  4. Step 4: Simplify right side
    231,305.94x = 41,268,635,577.70
  5. Step 5: Solve for x
    x = 41,268,635,577.70/231,305.94
  6. Step 6: Final answer
    x = 178,415.81

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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.