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Finding the Fourth Proportional to 151,236.50, 208,706.37 and 84,184.34

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Solution

The fourth proportional to 151,236.50, 208,706.37 and 84,184.34 is: 116,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,236.50 : 208,706.37 = 84,184.34 : x
  2. Step 2: Convert to fraction form
    151,236.50/208,706.37 = 84,184.34/x
  3. Step 3: Cross multiply
    151,236.50x = 208,706.37 × 84,184.34
  4. Step 4: Simplify right side
    151,236.50x = 17,569,808,012.25
  5. Step 5: Solve for x
    x = 17,569,808,012.25/151,236.50
  6. Step 6: Final answer
    x = 116,174.39

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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.