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Finding the Fourth Proportional to 201,013.40, 301,260.90 and 154,033.40

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Solution

The fourth proportional to 201,013.40, 301,260.90 and 154,033.40 is: 230,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,013.40 : 301,260.90 = 154,033.40 : x
  2. Step 2: Convert to fraction form
    201,013.40/301,260.90 = 154,033.40/x
  3. Step 3: Cross multiply
    201,013.40x = 301,260.90 × 154,033.40
  4. Step 4: Simplify right side
    201,013.40x = 46,404,240,714.06
  5. Step 5: Solve for x
    x = 46,404,240,714.06/201,013.40
  6. Step 6: Final answer
    x = 230,851.48

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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.