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Finding the Fourth Proportional to 230,928, 346,402.08 and 73,168.08

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Solution

The fourth proportional to 230,928, 346,402.08 and 73,168.08 is: 109,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,928 : 346,402.08 = 73,168.08 : x
  2. Step 2: Convert to fraction form
    230,928/346,402.08 = 73,168.08/x
  3. Step 3: Cross multiply
    230,928x = 346,402.08 × 73,168.08
  4. Step 4: Simplify right side
    230,928x = 25,345,575,101.61
  5. Step 5: Solve for x
    x = 25,345,575,101.61/230,928
  6. Step 6: Final answer
    x = 109,755.31

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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.