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Finding the Fourth Proportional to 200,894.98, 301,332.70 and 74,559.84

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Solution

The fourth proportional to 200,894.98, 301,332.70 and 74,559.84 is: 111,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,894.98 : 301,332.70 = 74,559.84 : x
  2. Step 2: Convert to fraction form
    200,894.98/301,332.70 = 74,559.84/x
  3. Step 3: Cross multiply
    200,894.98x = 301,332.70 × 74,559.84
  4. Step 4: Simplify right side
    200,894.98x = 22,467,317,898.77
  5. Step 5: Solve for x
    x = 22,467,317,898.77/200,894.98
  6. Step 6: Final answer
    x = 111,836.13

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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.