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Finding the Fourth Proportional to 201,409.90, 301,855.65 and 154,429.90

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Solution

The fourth proportional to 201,409.90, 301,855.65 and 154,429.90 is: 231,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,409.90 : 301,855.65 = 154,429.90 : x
  2. Step 2: Convert to fraction form
    201,409.90/301,855.65 = 154,429.90/x
  3. Step 3: Cross multiply
    201,409.90x = 301,855.65 × 154,429.90
  4. Step 4: Simplify right side
    201,409.90x = 46,615,537,843.94
  5. Step 5: Solve for x
    x = 46,615,537,843.94/201,409.90
  6. Step 6: Final answer
    x = 231,446.11

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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.