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Finding the Fourth Proportional to 230,254.16, 345,364.38 and 72,527.72

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Solution

The fourth proportional to 230,254.16, 345,364.38 and 72,527.72 is: 108,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,254.16 : 345,364.38 = 72,527.72 : x
  2. Step 2: Convert to fraction form
    230,254.16/345,364.38 = 72,527.72/x
  3. Step 3: Cross multiply
    230,254.16x = 345,364.38 × 72,527.72
  4. Step 4: Simplify right side
    230,254.16x = 25,048,491,050.61
  5. Step 5: Solve for x
    x = 25,048,491,050.61/230,254.16
  6. Step 6: Final answer
    x = 108,786.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.