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Finding the Fourth Proportional to 183,553.62, 253,307.89 and 102,986.97

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Solution

The fourth proportional to 183,553.62, 253,307.89 and 102,986.97 is: 142,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,553.62 : 253,307.89 = 102,986.97 : x
  2. Step 2: Convert to fraction form
    183,553.62/253,307.89 = 102,986.97/x
  3. Step 3: Cross multiply
    183,553.62x = 253,307.89 × 102,986.97
  4. Step 4: Simplify right side
    183,553.62x = 26,087,412,068.19
  5. Step 5: Solve for x
    x = 26,087,412,068.19/183,553.62
  6. Step 6: Final answer
    x = 142,124.20

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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.