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Finding the Fourth Proportional to 230,615.40, 345,923.10 and 97,461.12

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Solution

The fourth proportional to 230,615.40, 345,923.10 and 97,461.12 is: 146,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,615.40 : 345,923.10 = 97,461.12 : x
  2. Step 2: Convert to fraction form
    230,615.40/345,923.10 = 97,461.12/x
  3. Step 3: Cross multiply
    230,615.40x = 345,923.10 × 97,461.12
  4. Step 4: Simplify right side
    230,615.40x = 33,714,052,759.87
  5. Step 5: Solve for x
    x = 33,714,052,759.87/230,615.40
  6. Step 6: Final answer
    x = 146,191.68

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1.5x scale

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.