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Finding the Fourth Proportional to 84,178.80, 116,164.44 and 46,450.32

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Solution

The fourth proportional to 84,178.80, 116,164.44 and 46,450.32 is: 64,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,178.80 : 116,164.44 = 46,450.32 : x
  2. Step 2: Convert to fraction form
    84,178.80/116,164.44 = 46,450.32/x
  3. Step 3: Cross multiply
    84,178.80x = 116,164.44 × 46,450.32
  4. Step 4: Simplify right side
    84,178.80x = 5,395,875,410.62
  5. Step 5: Solve for x
    x = 5,395,875,410.62/84,178.80
  6. Step 6: Final answer
    x = 64,100.17

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1.5x scale

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.