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Finding the Fourth Proportional to 221,143.77, 331,620.88 and 102,802.77

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Solution

The fourth proportional to 221,143.77, 331,620.88 and 102,802.77 is: 154,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,143.77 : 331,620.88 = 102,802.77 : x
  2. Step 2: Convert to fraction form
    221,143.77/331,620.88 = 102,802.77/x
  3. Step 3: Cross multiply
    221,143.77x = 331,620.88 × 102,802.77
  4. Step 4: Simplify right side
    221,143.77x = 34,091,545,053.84
  5. Step 5: Solve for x
    x = 34,091,545,053.84/221,143.77
  6. Step 6: Final answer
    x = 154,160.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.