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Finding the Fourth Proportional to 183,953.80, 253,857.24 and 107,477.38

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Solution

The fourth proportional to 183,953.80, 253,857.24 and 107,477.38 is: 148,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,953.80 : 253,857.24 = 107,477.38 : x
  2. Step 2: Convert to fraction form
    183,953.80/253,857.24 = 107,477.38/x
  3. Step 3: Cross multiply
    183,953.80x = 253,857.24 × 107,477.38
  4. Step 4: Simplify right side
    183,953.80x = 27,283,911,049.23
  5. Step 5: Solve for x
    x = 27,283,911,049.23/183,953.80
  6. Step 6: Final answer
    x = 148,319.37

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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.