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Finding the Fourth Proportional to 201,829, 278,532.66 and 112,405

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Solution

The fourth proportional to 201,829, 278,532.66 and 112,405 is: 155,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,829 : 278,532.66 = 112,405 : x
  2. Step 2: Convert to fraction form
    201,829/278,532.66 = 112,405/x
  3. Step 3: Cross multiply
    201,829x = 278,532.66 × 112,405
  4. Step 4: Simplify right side
    201,829x = 31,308,463,647.30
  5. Step 5: Solve for x
    x = 31,308,463,647.30/201,829
  6. Step 6: Final answer
    x = 155,123.71

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