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Finding the Fourth Proportional to 202,842.70, 304,379.46 and 103,008.58

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Solution

The fourth proportional to 202,842.70, 304,379.46 and 103,008.58 is: 154,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,842.70 : 304,379.46 = 103,008.58 : x
  2. Step 2: Convert to fraction form
    202,842.70/304,379.46 = 103,008.58/x
  3. Step 3: Cross multiply
    202,842.70x = 304,379.46 × 103,008.58
  4. Step 4: Simplify right side
    202,842.70x = 31,353,695,955.77
  5. Step 5: Solve for x
    x = 31,353,695,955.77/202,842.70
  6. Step 6: Final answer
    x = 154,571.48

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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.