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Finding the Fourth Proportional to 200,491.14, 300,803.84 and 65,561.43

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Solution

The fourth proportional to 200,491.14, 300,803.84 and 65,561.43 is: 98,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,491.14 : 300,803.84 = 65,561.43 : x
  2. Step 2: Convert to fraction form
    200,491.14/300,803.84 = 65,561.43/x
  3. Step 3: Cross multiply
    200,491.14x = 300,803.84 × 65,561.43
  4. Step 4: Simplify right side
    200,491.14x = 19,721,130,063.79
  5. Step 5: Solve for x
    x = 19,721,130,063.79/200,491.14
  6. Step 6: Final answer
    x = 98,364.10

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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.