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Finding the Fourth Proportional to 237,358, 327,590.68 and 135,383.68

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Solution

The fourth proportional to 237,358, 327,590.68 and 135,383.68 is: 186,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,358 : 327,590.68 = 135,383.68 : x
  2. Step 2: Convert to fraction form
    237,358/327,590.68 = 135,383.68/x
  3. Step 3: Cross multiply
    237,358x = 327,590.68 × 135,383.68
  4. Step 4: Simplify right side
    237,358x = 44,350,431,792.10
  5. Step 5: Solve for x
    x = 44,350,431,792.10/237,358
  6. Step 6: Final answer
    x = 186,850.38

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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.