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Finding the Fourth Proportional to 84,186, 116,178.30 and 46,459.44

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Solution

The fourth proportional to 84,186, 116,178.30 and 46,459.44 is: 64,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,186 : 116,178.30 = 46,459.44 : x
  2. Step 2: Convert to fraction form
    84,186/116,178.30 = 46,459.44/x
  3. Step 3: Cross multiply
    84,186x = 116,178.30 × 46,459.44
  4. Step 4: Simplify right side
    84,186x = 5,397,578,758.15
  5. Step 5: Solve for x
    x = 5,397,578,758.15/84,186
  6. Step 6: Final answer
    x = 64,114.92

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Why These Related Problems?

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