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Finding the Fourth Proportional to 84,206.40, 116,196.55 and 46,478.22

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Solution

The fourth proportional to 84,206.40, 116,196.55 and 46,478.22 is: 64,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,206.40 : 116,196.55 = 46,478.22 : x
  2. Step 2: Convert to fraction form
    84,206.40/116,196.55 = 46,478.22/x
  3. Step 3: Cross multiply
    84,206.40x = 116,196.55 × 46,478.22
  4. Step 4: Simplify right side
    84,206.40x = 5,400,608,814.14
  5. Step 5: Solve for x
    x = 5,400,608,814.14/84,206.40
  6. Step 6: Final answer
    x = 64,135.37

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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.