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Finding the Fourth Proportional to 153,820.80, 230,731.20 and 146,563.20

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Solution

The fourth proportional to 153,820.80, 230,731.20 and 146,563.20 is: 219,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,820.80 : 230,731.20 = 146,563.20 : x
  2. Step 2: Convert to fraction form
    153,820.80/230,731.20 = 146,563.20/x
  3. Step 3: Cross multiply
    153,820.80x = 230,731.20 × 146,563.20
  4. Step 4: Simplify right side
    153,820.80x = 33,816,703,011.84
  5. Step 5: Solve for x
    x = 33,816,703,011.84/153,820.80
  6. Step 6: Final answer
    x = 219,844.80

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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.