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Finding the Fourth Proportional to 232,644.80, 348,967.20 and 114,546.80

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Solution

The fourth proportional to 232,644.80, 348,967.20 and 114,546.80 is: 171,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,644.80 : 348,967.20 = 114,546.80 : x
  2. Step 2: Convert to fraction form
    232,644.80/348,967.20 = 114,546.80/x
  3. Step 3: Cross multiply
    232,644.80x = 348,967.20 × 114,546.80
  4. Step 4: Simplify right side
    232,644.80x = 39,973,076,064.96
  5. Step 5: Solve for x
    x = 39,973,076,064.96/232,644.80
  6. Step 6: Final answer
    x = 171,820.20

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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.