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Finding the Fourth Proportional to 102,595.84, 153,942.49 and 71,054.44

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Solution

The fourth proportional to 102,595.84, 153,942.49 and 71,054.44 is: 106,615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,595.84 : 153,942.49 = 71,054.44 : x
  2. Step 2: Convert to fraction form
    102,595.84/153,942.49 = 71,054.44/x
  3. Step 3: Cross multiply
    102,595.84x = 153,942.49 × 71,054.44
  4. Step 4: Simplify right side
    102,595.84x = 10,938,296,649.44
  5. Step 5: Solve for x
    x = 10,938,296,649.44/102,595.84
  6. Step 6: Final answer
    x = 106,615.41

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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.