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Finding the Fourth Proportional to 159,011.94, 219,205.26 and 111,116.64

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Solution

The fourth proportional to 159,011.94, 219,205.26 and 111,116.64 is: 153,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,011.94 : 219,205.26 = 111,116.64 : x
  2. Step 2: Convert to fraction form
    159,011.94/219,205.26 = 111,116.64/x
  3. Step 3: Cross multiply
    159,011.94x = 219,205.26 × 111,116.64
  4. Step 4: Simplify right side
    159,011.94x = 24,357,351,961.53
  5. Step 5: Solve for x
    x = 24,357,351,961.53/159,011.94
  6. Step 6: Final answer
    x = 153,179.39

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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.