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Finding the Fourth Proportional to 240,877.86, 361,198.56 and 119,157.77

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Solution

The fourth proportional to 240,877.86, 361,198.56 and 119,157.77 is: 178,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,877.86 : 361,198.56 = 119,157.77 : x
  2. Step 2: Convert to fraction form
    240,877.86/361,198.56 = 119,157.77/x
  3. Step 3: Cross multiply
    240,877.86x = 361,198.56 × 119,157.77
  4. Step 4: Simplify right side
    240,877.86x = 43,039,613,130.82
  5. Step 5: Solve for x
    x = 43,039,613,130.82/240,877.86
  6. Step 6: Final answer
    x = 178,678.16

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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.