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Finding the Fourth Proportional to 284,881.82, 427,164.98 and 116,520.38

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Solution

The fourth proportional to 284,881.82, 427,164.98 and 116,520.38 is: 174,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,881.82 : 427,164.98 = 116,520.38 : x
  2. Step 2: Convert to fraction form
    284,881.82/427,164.98 = 116,520.38/x
  3. Step 3: Cross multiply
    284,881.82x = 427,164.98 × 116,520.38
  4. Step 4: Simplify right side
    284,881.82x = 49,773,424,484.75
  5. Step 5: Solve for x
    x = 49,773,424,484.75/284,881.82
  6. Step 6: Final answer
    x = 174,716.04

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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.