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Finding the Fourth Proportional to 200,504, 300,756 and 60,262.76

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Solution

The fourth proportional to 200,504, 300,756 and 60,262.76 is: 90,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,504 : 300,756 = 60,262.76 : x
  2. Step 2: Convert to fraction form
    200,504/300,756 = 60,262.76/x
  3. Step 3: Cross multiply
    200,504x = 300,756 × 60,262.76
  4. Step 4: Simplify right side
    200,504x = 18,124,386,646.56
  5. Step 5: Solve for x
    x = 18,124,386,646.56/200,504
  6. Step 6: Final answer
    x = 90,394.14

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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.