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Finding the Fourth Proportional to 183,461.12, 253,161.60 and 101,792

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Solution

The fourth proportional to 183,461.12, 253,161.60 and 101,792 is: 140,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,461.12 : 253,161.60 = 101,792 : x
  2. Step 2: Convert to fraction form
    183,461.12/253,161.60 = 101,792/x
  3. Step 3: Cross multiply
    183,461.12x = 253,161.60 × 101,792
  4. Step 4: Simplify right side
    183,461.12x = 25,769,825,587.20
  5. Step 5: Solve for x
    x = 25,769,825,587.20/183,461.12
  6. Step 6: Final answer
    x = 140,464.78

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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.