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Finding the Fourth Proportional to 183,881.88, 253,760.32 and 102,217.77

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Solution

The fourth proportional to 183,881.88, 253,760.32 and 102,217.77 is: 141,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,881.88 : 253,760.32 = 102,217.77 : x
  2. Step 2: Convert to fraction form
    183,881.88/253,760.32 = 102,217.77/x
  3. Step 3: Cross multiply
    183,881.88x = 253,760.32 × 102,217.77
  4. Step 4: Simplify right side
    183,881.88x = 25,938,814,024.89
  5. Step 5: Solve for x
    x = 25,938,814,024.89/183,881.88
  6. Step 6: Final answer
    x = 141,062.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.