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Finding the Fourth Proportional to 183,412.84, 253,100.82 and 102,849.16

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Solution

The fourth proportional to 183,412.84, 253,100.82 and 102,849.16 is: 141,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,412.84 : 253,100.82 = 102,849.16 : x
  2. Step 2: Convert to fraction form
    183,412.84/253,100.82 = 102,849.16/x
  3. Step 3: Cross multiply
    183,412.84x = 253,100.82 × 102,849.16
  4. Step 4: Simplify right side
    183,412.84x = 26,031,206,732.31
  5. Step 5: Solve for x
    x = 26,031,206,732.31/183,412.84
  6. Step 6: Final answer
    x = 141,926.85

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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.