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Finding the Fourth Proportional to 146,062.80, 219,094.20 and 96,199.20

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Solution

The fourth proportional to 146,062.80, 219,094.20 and 96,199.20 is: 144,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,062.80 : 219,094.20 = 96,199.20 : x
  2. Step 2: Convert to fraction form
    146,062.80/219,094.20 = 96,199.20/x
  3. Step 3: Cross multiply
    146,062.80x = 219,094.20 × 96,199.20
  4. Step 4: Simplify right side
    146,062.80x = 21,076,686,764.64
  5. Step 5: Solve for x
    x = 21,076,686,764.64/146,062.80
  6. Step 6: Final answer
    x = 144,298.80

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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.