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Finding the Fourth Proportional to 199,153.76, 274,706.64 and 118,521.09

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Solution

The fourth proportional to 199,153.76, 274,706.64 and 118,521.09 is: 163,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,153.76 : 274,706.64 = 118,521.09 : x
  2. Step 2: Convert to fraction form
    199,153.76/274,706.64 = 118,521.09/x
  3. Step 3: Cross multiply
    199,153.76x = 274,706.64 × 118,521.09
  4. Step 4: Simplify right side
    199,153.76x = 32,558,530,403.04
  5. Step 5: Solve for x
    x = 32,558,530,403.04/199,153.76
  6. Step 6: Final answer
    x = 163,484.39

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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.