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Finding the Fourth Proportional to 202,841.70, 304,377.96 and 103,007.58

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Solution

The fourth proportional to 202,841.70, 304,377.96 and 103,007.58 is: 154,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,841.70 : 304,377.96 = 103,007.58 : x
  2. Step 2: Convert to fraction form
    202,841.70/304,377.96 = 103,007.58/x
  3. Step 3: Cross multiply
    202,841.70x = 304,377.96 × 103,007.58
  4. Step 4: Simplify right side
    202,841.70x = 31,353,237,064.94
  5. Step 5: Solve for x
    x = 31,353,237,064.94/202,841.70
  6. Step 6: Final answer
    x = 154,569.98

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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.