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Finding the Fourth Proportional to 230,807.64, 345,300.48 and 174,809.10

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Solution

The fourth proportional to 230,807.64, 345,300.48 and 174,809.10 is: 261,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,807.64 : 345,300.48 = 174,809.10 : x
  2. Step 2: Convert to fraction form
    230,807.64/345,300.48 = 174,809.10/x
  3. Step 3: Cross multiply
    230,807.64x = 345,300.48 × 174,809.10
  4. Step 4: Simplify right side
    230,807.64x = 60,361,666,138.37
  5. Step 5: Solve for x
    x = 60,361,666,138.37/230,807.64
  6. Step 6: Final answer
    x = 261,523.69

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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.