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Finding the Fourth Proportional to 289,106.82, 433,723.82 and 86,694.71

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Solution

The fourth proportional to 289,106.82, 433,723.82 and 86,694.71 is: 130,061.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,106.82 : 433,723.82 = 86,694.71 : x
  2. Step 2: Convert to fraction form
    289,106.82/433,723.82 = 86,694.71/x
  3. Step 3: Cross multiply
    289,106.82x = 433,723.82 × 86,694.71
  4. Step 4: Simplify right side
    289,106.82x = 37,601,558,192.90
  5. Step 5: Solve for x
    x = 37,601,558,192.90/289,106.82
  6. Step 6: Final answer
    x = 130,061.12

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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.