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Finding the Fourth Proportional to 94,136, 141,262.36 and 54,711.68

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Solution

The fourth proportional to 94,136, 141,262.36 and 54,711.68 is: 82,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,136 : 141,262.36 = 54,711.68 : x
  2. Step 2: Convert to fraction form
    94,136/141,262.36 = 54,711.68/x
  3. Step 3: Cross multiply
    94,136x = 141,262.36 × 54,711.68
  4. Step 4: Simplify right side
    94,136x = 7,728,701,036.36
  5. Step 5: Solve for x
    x = 7,728,701,036.36/94,136
  6. Step 6: Final answer
    x = 82,101.44

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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.