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Finding the Fourth Proportional to 84,187, 116,179.68 and 46,460.44

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Solution

The fourth proportional to 84,187, 116,179.68 and 46,460.44 is: 64,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,187 : 116,179.68 = 46,460.44 : x
  2. Step 2: Convert to fraction form
    84,187/116,179.68 = 46,460.44/x
  3. Step 3: Cross multiply
    84,187x = 116,179.68 × 46,460.44
  4. Step 4: Simplify right side
    84,187x = 5,397,759,051.86
  5. Step 5: Solve for x
    x = 5,397,759,051.86/84,187
  6. Step 6: Final answer
    x = 64,116.30

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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.