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Finding the Fourth Proportional to 302,014.38, 416,780.10 and 166,050.66

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Solution

The fourth proportional to 302,014.38, 416,780.10 and 166,050.66 is: 229,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,014.38 : 416,780.10 = 166,050.66 : x
  2. Step 2: Convert to fraction form
    302,014.38/416,780.10 = 166,050.66/x
  3. Step 3: Cross multiply
    302,014.38x = 416,780.10 × 166,050.66
  4. Step 4: Simplify right side
    302,014.38x = 69,206,610,679.87
  5. Step 5: Solve for x
    x = 69,206,610,679.87/302,014.38
  6. Step 6: Final answer
    x = 229,150.05

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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.