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Finding the Fourth Proportional to 118,770.63, 178,141.61 and 30,024.92

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Solution

The fourth proportional to 118,770.63, 178,141.61 and 30,024.92 is: 45,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,770.63 : 178,141.61 = 30,024.92 : x
  2. Step 2: Convert to fraction form
    118,770.63/178,141.61 = 30,024.92/x
  3. Step 3: Cross multiply
    118,770.63x = 178,141.61 × 30,024.92
  4. Step 4: Simplify right side
    118,770.63x = 5,348,686,548.09
  5. Step 5: Solve for x
    x = 5,348,686,548.09/118,770.63
  6. Step 6: Final answer
    x = 45,033.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.