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Finding the Fourth Proportional to 232,893.56, 349,475.78 and 97,947.80

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Solution

The fourth proportional to 232,893.56, 349,475.78 and 97,947.80 is: 146,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,893.56 : 349,475.78 = 97,947.80 : x
  2. Step 2: Convert to fraction form
    232,893.56/349,475.78 = 97,947.80/x
  3. Step 3: Cross multiply
    232,893.56x = 349,475.78 × 97,947.80
  4. Step 4: Simplify right side
    232,893.56x = 34,230,383,804.28
  5. Step 5: Solve for x
    x = 34,230,383,804.28/232,893.56
  6. Step 6: Final answer
    x = 146,978.66

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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.