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Finding the Fourth Proportional to 183,953.64, 253,867.68 and 102,291.06

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Solution

The fourth proportional to 183,953.64, 253,867.68 and 102,291.06 is: 141,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,953.64 : 253,867.68 = 102,291.06 : x
  2. Step 2: Convert to fraction form
    183,953.64/253,867.68 = 102,291.06/x
  3. Step 3: Cross multiply
    183,953.64x = 253,867.68 × 102,291.06
  4. Step 4: Simplify right side
    183,953.64x = 25,968,394,086.94
  5. Step 5: Solve for x
    x = 25,968,394,086.94/183,953.64
  6. Step 6: Final answer
    x = 141,168.14

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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.