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Finding the Fourth Proportional to 237,620.69, 327,904.01 and 135,642.10

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Solution

The fourth proportional to 237,620.69, 327,904.01 and 135,642.10 is: 187,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,620.69 : 327,904.01 = 135,642.10 : x
  2. Step 2: Convert to fraction form
    237,620.69/327,904.01 = 135,642.10/x
  3. Step 3: Cross multiply
    237,620.69x = 327,904.01 × 135,642.10
  4. Step 4: Simplify right side
    237,620.69x = 44,477,588,034.17
  5. Step 5: Solve for x
    x = 44,477,588,034.17/237,620.69
  6. Step 6: Final answer
    x = 187,178.93

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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.