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Finding the Fourth Proportional to 245,228.94, 367,644.90 and 76,662.48

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Solution

The fourth proportional to 245,228.94, 367,644.90 and 76,662.48 is: 114,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,228.94 : 367,644.90 = 76,662.48 : x
  2. Step 2: Convert to fraction form
    245,228.94/367,644.90 = 76,662.48/x
  3. Step 3: Cross multiply
    245,228.94x = 367,644.90 × 76,662.48
  4. Step 4: Simplify right side
    245,228.94x = 28,184,569,793.35
  5. Step 5: Solve for x
    x = 28,184,569,793.35/245,228.94
  6. Step 6: Final answer
    x = 114,931.66

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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.