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Finding the Fourth Proportional to 183,977.64, 253,891.40 and 103,400.44

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Solution

The fourth proportional to 183,977.64, 253,891.40 and 103,400.44 is: 142,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,977.64 : 253,891.40 = 103,400.44 : x
  2. Step 2: Convert to fraction form
    183,977.64/253,891.40 = 103,400.44/x
  3. Step 3: Cross multiply
    183,977.64x = 253,891.40 × 103,400.44
  4. Step 4: Simplify right side
    183,977.64x = 26,252,482,472.22
  5. Step 5: Solve for x
    x = 26,252,482,472.22/183,977.64
  6. Step 6: Final answer
    x = 142,693.88

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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.