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Finding the Fourth Proportional to 112,873.12, 169,310 and 46,314.20

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Solution

The fourth proportional to 112,873.12, 169,310 and 46,314.20 is: 69,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,873.12 : 169,310 = 46,314.20 : x
  2. Step 2: Convert to fraction form
    112,873.12/169,310 = 46,314.20/x
  3. Step 3: Cross multiply
    112,873.12x = 169,310 × 46,314.20
  4. Step 4: Simplify right side
    112,873.12x = 7,841,457,202.00
  5. Step 5: Solve for x
    x = 7,841,457,202.00/112,873.12
  6. Step 6: Final answer
    x = 69,471.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.