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Finding the Fourth Proportional to 200,744.84, 301,021.95 and 116,530.83

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Solution

The fourth proportional to 200,744.84, 301,021.95 and 116,530.83 is: 174,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744.84 : 301,021.95 = 116,530.83 : x
  2. Step 2: Convert to fraction form
    200,744.84/301,021.95 = 116,530.83/x
  3. Step 3: Cross multiply
    200,744.84x = 301,021.95 × 116,530.83
  4. Step 4: Simplify right side
    200,744.84x = 35,078,337,681.72
  5. Step 5: Solve for x
    x = 35,078,337,681.72/200,744.84
  6. Step 6: Final answer
    x = 174,740.92

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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.