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Finding the Fourth Proportional to 257,241.86, 385,877.38 and 79,774.10

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Solution

The fourth proportional to 257,241.86, 385,877.38 and 79,774.10 is: 119,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,241.86 : 385,877.38 = 79,774.10 : x
  2. Step 2: Convert to fraction form
    257,241.86/385,877.38 = 79,774.10/x
  3. Step 3: Cross multiply
    257,241.86x = 385,877.38 × 79,774.10
  4. Step 4: Simplify right side
    257,241.86x = 30,783,021,465.12
  5. Step 5: Solve for x
    x = 30,783,021,465.12/257,241.86
  6. Step 6: Final answer
    x = 119,665.68

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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.