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Finding the Fourth Proportional to 253,397.80, 380,048.10 and 75,910.60

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Solution

The fourth proportional to 253,397.80, 380,048.10 and 75,910.60 is: 113,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,397.80 : 380,048.10 = 75,910.60 : x
  2. Step 2: Convert to fraction form
    253,397.80/380,048.10 = 75,910.60/x
  3. Step 3: Cross multiply
    253,397.80x = 380,048.10 × 75,910.60
  4. Step 4: Simplify right side
    253,397.80x = 28,849,679,299.86
  5. Step 5: Solve for x
    x = 28,849,679,299.86/253,397.80
  6. Step 6: Final answer
    x = 113,851.34

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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.