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Finding the Fourth Proportional to 253,471.43, 380,070.77 and 101,592.29

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Solution

The fourth proportional to 253,471.43, 380,070.77 and 101,592.29 is: 152,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,471.43 : 380,070.77 = 101,592.29 : x
  2. Step 2: Convert to fraction form
    253,471.43/380,070.77 = 101,592.29/x
  3. Step 3: Cross multiply
    253,471.43x = 380,070.77 × 101,592.29
  4. Step 4: Simplify right side
    253,471.43x = 38,612,259,885.26
  5. Step 5: Solve for x
    x = 38,612,259,885.26/253,471.43
  6. Step 6: Final answer
    x = 152,333.77

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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.