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Finding the Fourth Proportional to 172,465.20, 258,697.80 and 146,221.20

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Solution

The fourth proportional to 172,465.20, 258,697.80 and 146,221.20 is: 219,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,465.20 : 258,697.80 = 146,221.20 : x
  2. Step 2: Convert to fraction form
    172,465.20/258,697.80 = 146,221.20/x
  3. Step 3: Cross multiply
    172,465.20x = 258,697.80 × 146,221.20
  4. Step 4: Simplify right side
    172,465.20x = 37,827,102,753.36
  5. Step 5: Solve for x
    x = 37,827,102,753.36/172,465.20
  6. Step 6: Final answer
    x = 219,331.80

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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.