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Finding the Fourth Proportional to 230,923.40, 346,298.70 and 81,105.80

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Solution

The fourth proportional to 230,923.40, 346,298.70 and 81,105.80 is: 121,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,923.40 : 346,298.70 = 81,105.80 : x
  2. Step 2: Convert to fraction form
    230,923.40/346,298.70 = 81,105.80/x
  3. Step 3: Cross multiply
    230,923.40x = 346,298.70 × 81,105.80
  4. Step 4: Simplify right side
    230,923.40x = 28,086,833,102.46
  5. Step 5: Solve for x
    x = 28,086,833,102.46/230,923.40
  6. Step 6: Final answer
    x = 121,628.35

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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.