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Finding the Fourth Proportional to 230,305.82, 317,824.29 and 134,814.51

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Solution

The fourth proportional to 230,305.82, 317,824.29 and 134,814.51 is: 186,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,305.82 : 317,824.29 = 134,814.51 : x
  2. Step 2: Convert to fraction form
    230,305.82/317,824.29 = 134,814.51/x
  3. Step 3: Cross multiply
    230,305.82x = 317,824.29 × 134,814.51
  4. Step 4: Simplify right side
    230,305.82x = 42,847,325,922.45
  5. Step 5: Solve for x
    x = 42,847,325,922.45/230,305.82
  6. Step 6: Final answer
    x = 186,045.35

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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.