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Finding the Fourth Proportional to 224,186, 309,383.16 and 123,590.48

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Solution

The fourth proportional to 224,186, 309,383.16 and 123,590.48 is: 170,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,186 : 309,383.16 = 123,590.48 : x
  2. Step 2: Convert to fraction form
    224,186/309,383.16 = 123,590.48/x
  3. Step 3: Cross multiply
    224,186x = 309,383.16 × 123,590.48
  4. Step 4: Simplify right side
    224,186x = 38,236,813,248.32
  5. Step 5: Solve for x
    x = 38,236,813,248.32/224,186
  6. Step 6: Final answer
    x = 170,558.43

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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.