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Finding the Fourth Proportional to 219,786.32, 303,307.02 and 119,184.32

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Solution

The fourth proportional to 219,786.32, 303,307.02 and 119,184.32 is: 164,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,786.32 : 303,307.02 = 119,184.32 : x
  2. Step 2: Convert to fraction form
    219,786.32/303,307.02 = 119,184.32/x
  3. Step 3: Cross multiply
    219,786.32x = 303,307.02 × 119,184.32
  4. Step 4: Simplify right side
    219,786.32x = 36,149,440,929.93
  5. Step 5: Solve for x
    x = 36,149,440,929.93/219,786.32
  6. Step 6: Final answer
    x = 164,475.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.