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Finding the Fourth Proportional to 254,998.86, 382,510.77 and 97,197.90

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Solution

The fourth proportional to 254,998.86, 382,510.77 and 97,197.90 is: 145,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,998.86 : 382,510.77 = 97,197.90 : x
  2. Step 2: Convert to fraction form
    254,998.86/382,510.77 = 97,197.90/x
  3. Step 3: Cross multiply
    254,998.86x = 382,510.77 × 97,197.90
  4. Step 4: Simplify right side
    254,998.86x = 37,179,243,571.38
  5. Step 5: Solve for x
    x = 37,179,243,571.38/254,998.86
  6. Step 6: Final answer
    x = 145,801.61

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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.