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Finding the Fourth Proportional to 167,056.80, 250,573.68 and 78,330

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Solution

The fourth proportional to 167,056.80, 250,573.68 and 78,330 is: 117,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,056.80 : 250,573.68 = 78,330 : x
  2. Step 2: Convert to fraction form
    167,056.80/250,573.68 = 78,330/x
  3. Step 3: Cross multiply
    167,056.80x = 250,573.68 × 78,330
  4. Step 4: Simplify right side
    167,056.80x = 19,627,436,354.40
  5. Step 5: Solve for x
    x = 19,627,436,354.40/167,056.80
  6. Step 6: Final answer
    x = 117,489.60

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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.