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Finding the Fourth Proportional to 167,124, 230,602.80 and 110,505.12

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Solution

The fourth proportional to 167,124, 230,602.80 and 110,505.12 is: 152,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,124 : 230,602.80 = 110,505.12 : x
  2. Step 2: Convert to fraction form
    167,124/230,602.80 = 110,505.12/x
  3. Step 3: Cross multiply
    167,124x = 230,602.80 × 110,505.12
  4. Step 4: Simplify right side
    167,124x = 25,482,790,086.34
  5. Step 5: Solve for x
    x = 25,482,790,086.34/167,124
  6. Step 6: Final answer
    x = 152,478.34

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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.