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Finding the Fourth Proportional to 201,209.04, 277,317 and 147,379.68

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Solution

The fourth proportional to 201,209.04, 277,317 and 147,379.68 is: 203,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,209.04 : 277,317 = 147,379.68 : x
  2. Step 2: Convert to fraction form
    201,209.04/277,317 = 147,379.68/x
  3. Step 3: Cross multiply
    201,209.04x = 277,317 × 147,379.68
  4. Step 4: Simplify right side
    201,209.04x = 40,870,890,718.56
  5. Step 5: Solve for x
    x = 40,870,890,718.56/201,209.04
  6. Step 6: Final answer
    x = 203,126.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.