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Finding the Fourth Proportional to 230,809.92, 346,259.70 and 88,644.75

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Solution

The fourth proportional to 230,809.92, 346,259.70 and 88,644.75 is: 132,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,809.92 : 346,259.70 = 88,644.75 : x
  2. Step 2: Convert to fraction form
    230,809.92/346,259.70 = 88,644.75/x
  3. Step 3: Cross multiply
    230,809.92x = 346,259.70 × 88,644.75
  4. Step 4: Simplify right side
    230,809.92x = 30,694,104,541.58
  5. Step 5: Solve for x
    x = 30,694,104,541.58/230,809.92
  6. Step 6: Final answer
    x = 132,984.34

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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.