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Finding the Fourth Proportional to 219,546.68, 328,793.79 and 112,649.32

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Solution

The fourth proportional to 219,546.68, 328,793.79 and 112,649.32 is: 168,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,546.68 : 328,793.79 = 112,649.32 : x
  2. Step 2: Convert to fraction form
    219,546.68/328,793.79 = 112,649.32/x
  3. Step 3: Cross multiply
    219,546.68x = 328,793.79 × 112,649.32
  4. Step 4: Simplify right side
    219,546.68x = 37,038,395,219.75
  5. Step 5: Solve for x
    x = 37,038,395,219.75/219,546.68
  6. Step 6: Final answer
    x = 168,703.96

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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.