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Finding the Fourth Proportional to 230,956.40, 346,369.80 and 73,233.20

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Solution

The fourth proportional to 230,956.40, 346,369.80 and 73,233.20 is: 109,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,956.40 : 346,369.80 = 73,233.20 : x
  2. Step 2: Convert to fraction form
    230,956.40/346,369.80 = 73,233.20/x
  3. Step 3: Cross multiply
    230,956.40x = 346,369.80 × 73,233.20
  4. Step 4: Simplify right side
    230,956.40x = 25,365,768,837.36
  5. Step 5: Solve for x
    x = 25,365,768,837.36/230,956.40
  6. Step 6: Final answer
    x = 109,829.25

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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.