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Finding the Fourth Proportional to 301,113.11, 415,536.08 and 166,977.11

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Solution

The fourth proportional to 301,113.11, 415,536.08 and 166,977.11 is: 230,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,113.11 : 415,536.08 = 166,977.11 : x
  2. Step 2: Convert to fraction form
    301,113.11/415,536.08 = 166,977.11/x
  3. Step 3: Cross multiply
    301,113.11x = 415,536.08 × 166,977.11
  4. Step 4: Simplify right side
    301,113.11x = 69,385,010,826.56
  5. Step 5: Solve for x
    x = 69,385,010,826.56/301,113.11
  6. Step 6: Final answer
    x = 230,428.40

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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.