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Finding the Fourth Proportional to 230,666.56, 345,759.84 and 97,435.84

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Solution

The fourth proportional to 230,666.56, 345,759.84 and 97,435.84 is: 146,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,666.56 : 345,759.84 = 97,435.84 : x
  2. Step 2: Convert to fraction form
    230,666.56/345,759.84 = 97,435.84/x
  3. Step 3: Cross multiply
    230,666.56x = 345,759.84 × 97,435.84
  4. Step 4: Simplify right side
    230,666.56x = 33,689,400,448.67
  5. Step 5: Solve for x
    x = 33,689,400,448.67/230,666.56
  6. Step 6: Final answer
    x = 146,052.38

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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.