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Finding the Fourth Proportional to 228,115.57, 314,694.86 and 147,569.04

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Solution

The fourth proportional to 228,115.57, 314,694.86 and 147,569.04 is: 203,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,115.57 : 314,694.86 = 147,569.04 : x
  2. Step 2: Convert to fraction form
    228,115.57/314,694.86 = 147,569.04/x
  3. Step 3: Cross multiply
    228,115.57x = 314,694.86 × 147,569.04
  4. Step 4: Simplify right side
    228,115.57x = 46,439,218,383.13
  5. Step 5: Solve for x
    x = 46,439,218,383.13/228,115.57
  6. Step 6: Final answer
    x = 203,577.59

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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.