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Finding the Fourth Proportional to 237,364, 327,598.96 and 135,389.68

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Solution

The fourth proportional to 237,364, 327,598.96 and 135,389.68 is: 186,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,364 : 327,598.96 = 135,389.68 : x
  2. Step 2: Convert to fraction form
    237,364/327,598.96 = 135,389.68/x
  3. Step 3: Cross multiply
    237,364x = 327,598.96 × 135,389.68
  4. Step 4: Simplify right side
    237,364x = 44,353,518,362.73
  5. Step 5: Solve for x
    x = 44,353,518,362.73/237,364
  6. Step 6: Final answer
    x = 186,858.66

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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.