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Finding the Fourth Proportional to 230,527.46, 345,708 and 97,418.00

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Solution

The fourth proportional to 230,527.46, 345,708 and 97,418.00 is: 146,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,527.46 : 345,708 = 97,418.00 : x
  2. Step 2: Convert to fraction form
    230,527.46/345,708 = 97,418.00/x
  3. Step 3: Cross multiply
    230,527.46x = 345,708 × 97,418.00
  4. Step 4: Simplify right side
    230,527.46x = 33,678,180,215.46
  5. Step 5: Solve for x
    x = 33,678,180,215.46/230,527.46
  6. Step 6: Final answer
    x = 146,091.84

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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.