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Finding the Fourth Proportional to 288,950.70, 432,842.85 and 164,145.90

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Solution

The fourth proportional to 288,950.70, 432,842.85 and 164,145.90 is: 245,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,950.70 : 432,842.85 = 164,145.90 : x
  2. Step 2: Convert to fraction form
    288,950.70/432,842.85 = 164,145.90/x
  3. Step 3: Cross multiply
    288,950.70x = 432,842.85 × 164,145.90
  4. Step 4: Simplify right side
    288,950.70x = 71,049,379,171.82
  5. Step 5: Solve for x
    x = 71,049,379,171.82/288,950.70
  6. Step 6: Final answer
    x = 245,887.55

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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.