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Finding the Fourth Proportional to 294,136.14, 441,277.80 and 83,774.09

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Solution

The fourth proportional to 294,136.14, 441,277.80 and 83,774.09 is: 125,682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,136.14 : 441,277.80 = 83,774.09 : x
  2. Step 2: Convert to fraction form
    294,136.14/441,277.80 = 83,774.09/x
  3. Step 3: Cross multiply
    294,136.14x = 441,277.80 × 83,774.09
  4. Step 4: Simplify right side
    294,136.14x = 36,967,643,925.81
  5. Step 5: Solve for x
    x = 36,967,643,925.81/294,136.14
  6. Step 6: Final answer
    x = 125,682.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.