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Finding the Fourth Proportional to 230,838.96, 318,566.04 and 134,035.56

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Solution

The fourth proportional to 230,838.96, 318,566.04 and 134,035.56 is: 184,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,838.96 : 318,566.04 = 134,035.56 : x
  2. Step 2: Convert to fraction form
    230,838.96/318,566.04 = 134,035.56/x
  3. Step 3: Cross multiply
    230,838.96x = 318,566.04 × 134,035.56
  4. Step 4: Simplify right side
    230,838.96x = 42,699,177,568.38
  5. Step 5: Solve for x
    x = 42,699,177,568.38/230,838.96
  6. Step 6: Final answer
    x = 184,973.88

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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.