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Finding the Fourth Proportional to 232,267.33, 320,463.01 and 135,475.40

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Solution

The fourth proportional to 232,267.33, 320,463.01 and 135,475.40 is: 186,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,267.33 : 320,463.01 = 135,475.40 : x
  2. Step 2: Convert to fraction form
    232,267.33/320,463.01 = 135,475.40/x
  3. Step 3: Cross multiply
    232,267.33x = 320,463.01 × 135,475.40
  4. Step 4: Simplify right side
    232,267.33x = 43,414,854,927.42
  5. Step 5: Solve for x
    x = 43,414,854,927.42/232,267.33
  6. Step 6: Final answer
    x = 186,917.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.