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Finding the Fourth Proportional to 230,816.80, 346,322.40 and 125,711.20

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Solution

The fourth proportional to 230,816.80, 346,322.40 and 125,711.20 is: 188,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,816.80 : 346,322.40 = 125,711.20 : x
  2. Step 2: Convert to fraction form
    230,816.80/346,322.40 = 125,711.20/x
  3. Step 3: Cross multiply
    230,816.80x = 346,322.40 × 125,711.20
  4. Step 4: Simplify right side
    230,816.80x = 43,536,604,490.88
  5. Step 5: Solve for x
    x = 43,536,604,490.88/230,816.80
  6. Step 6: Final answer
    x = 188,619.74

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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.