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Finding the Fourth Proportional to 301,031.67, 415,428.38 and 165,078.03

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Solution

The fourth proportional to 301,031.67, 415,428.38 and 165,078.03 is: 227,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,031.67 : 415,428.38 = 165,078.03 : x
  2. Step 2: Convert to fraction form
    301,031.67/415,428.38 = 165,078.03/x
  3. Step 3: Cross multiply
    301,031.67x = 415,428.38 × 165,078.03
  4. Step 4: Simplify right side
    301,031.67x = 68,578,097,751.10
  5. Step 5: Solve for x
    x = 68,578,097,751.10/301,031.67
  6. Step 6: Final answer
    x = 227,810.24

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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.