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Finding the Fourth Proportional to 183,855.80, 253,721.02 and 102,184.04

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Solution

The fourth proportional to 183,855.80, 253,721.02 and 102,184.04 is: 141,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,855.80 : 253,721.02 = 102,184.04 : x
  2. Step 2: Convert to fraction form
    183,855.80/253,721.02 = 102,184.04/x
  3. Step 3: Cross multiply
    183,855.80x = 253,721.02 × 102,184.04
  4. Step 4: Simplify right side
    183,855.80x = 25,926,237,587.92
  5. Step 5: Solve for x
    x = 25,926,237,587.92/183,855.80
  6. Step 6: Final answer
    x = 141,013.98

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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.