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Finding the Fourth Proportional to 202,876.70, 304,501.05 and 103,106.30

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Solution

The fourth proportional to 202,876.70, 304,501.05 and 103,106.30 is: 154,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,876.70 : 304,501.05 = 103,106.30 : x
  2. Step 2: Convert to fraction form
    202,876.70/304,501.05 = 103,106.30/x
  3. Step 3: Cross multiply
    202,876.70x = 304,501.05 × 103,106.30
  4. Step 4: Simplify right side
    202,876.70x = 31,395,976,611.62
  5. Step 5: Solve for x
    x = 31,395,976,611.62/202,876.70
  6. Step 6: Final answer
    x = 154,753.98

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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.