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Finding the Fourth Proportional to 301,872.71, 416,593.71 and 165,904.19

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Solution

The fourth proportional to 301,872.71, 416,593.71 and 165,904.19 is: 228,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,872.71 : 416,593.71 = 165,904.19 : x
  2. Step 2: Convert to fraction form
    301,872.71/416,593.71 = 165,904.19/x
  3. Step 3: Cross multiply
    301,872.71x = 416,593.71 × 165,904.19
  4. Step 4: Simplify right side
    301,872.71x = 69,114,640,555.82
  5. Step 5: Solve for x
    x = 69,114,640,555.82/301,872.71
  6. Step 6: Final answer
    x = 228,952.93

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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.