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Finding the Fourth Proportional to 301,005.24, 415,381.14 and 166,869.24

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Solution

The fourth proportional to 301,005.24, 415,381.14 and 166,869.24 is: 230,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,005.24 : 415,381.14 = 166,869.24 : x
  2. Step 2: Convert to fraction form
    301,005.24/415,381.14 = 166,869.24/x
  3. Step 3: Cross multiply
    301,005.24x = 415,381.14 × 166,869.24
  4. Step 4: Simplify right side
    301,005.24x = 69,314,335,142.13
  5. Step 5: Solve for x
    x = 69,314,335,142.13/301,005.24
  6. Step 6: Final answer
    x = 230,276.17

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