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Finding the Fourth Proportional to 230,858.40, 346,298.40 and 73,099.20

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Solution

The fourth proportional to 230,858.40, 346,298.40 and 73,099.20 is: 109,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,858.40 : 346,298.40 = 73,099.20 : x
  2. Step 2: Convert to fraction form
    230,858.40/346,298.40 = 73,099.20/x
  3. Step 3: Cross multiply
    230,858.40x = 346,298.40 × 73,099.20
  4. Step 4: Simplify right side
    230,858.40x = 25,314,136,001.28
  5. Step 5: Solve for x
    x = 25,314,136,001.28/230,858.40
  6. Step 6: Final answer
    x = 109,652.22

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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.