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Finding the Fourth Proportional to 201,676.40, 302,514.60 and 154,437.20

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Solution

The fourth proportional to 201,676.40, 302,514.60 and 154,437.20 is: 231,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,676.40 : 302,514.60 = 154,437.20 : x
  2. Step 2: Convert to fraction form
    201,676.40/302,514.60 = 154,437.20/x
  3. Step 3: Cross multiply
    201,676.40x = 302,514.60 × 154,437.20
  4. Step 4: Simplify right side
    201,676.40x = 46,719,507,783.12
  5. Step 5: Solve for x
    x = 46,719,507,783.12/201,676.40
  6. Step 6: Final answer
    x = 231,655.80

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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.