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Finding the Fourth Proportional to 84,196.40, 116,182.75 and 46,468.22

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Solution

The fourth proportional to 84,196.40, 116,182.75 and 46,468.22 is: 64,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,196.40 : 116,182.75 = 46,468.22 : x
  2. Step 2: Convert to fraction form
    84,196.40/116,182.75 = 46,468.22/x
  3. Step 3: Cross multiply
    84,196.40x = 116,182.75 × 46,468.22
  4. Step 4: Simplify right side
    84,196.40x = 5,398,805,587.21
  5. Step 5: Solve for x
    x = 5,398,805,587.21/84,196.40
  6. Step 6: Final answer
    x = 64,121.57

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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.