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Finding the Fourth Proportional to 252,814, 379,283.40 and 75,320.32

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Solution

The fourth proportional to 252,814, 379,283.40 and 75,320.32 is: 112,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,814 : 379,283.40 = 75,320.32 : x
  2. Step 2: Convert to fraction form
    252,814/379,283.40 = 75,320.32/x
  3. Step 3: Cross multiply
    252,814x = 379,283.40 × 75,320.32
  4. Step 4: Simplify right side
    252,814x = 28,567,747,058.69
  5. Step 5: Solve for x
    x = 28,567,747,058.69/252,814
  6. Step 6: Final answer
    x = 112,999.07

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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.