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Finding the Fourth Proportional to 255,829.28, 353,039.94 and 141,118.38

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Solution

The fourth proportional to 255,829.28, 353,039.94 and 141,118.38 is: 194,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,829.28 : 353,039.94 = 141,118.38 : x
  2. Step 2: Convert to fraction form
    255,829.28/353,039.94 = 141,118.38/x
  3. Step 3: Cross multiply
    255,829.28x = 353,039.94 × 141,118.38
  4. Step 4: Simplify right side
    255,829.28x = 49,820,424,408.10
  5. Step 5: Solve for x
    x = 49,820,424,408.10/255,829.28
  6. Step 6: Final answer
    x = 194,740.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.