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Finding the Fourth Proportional to 230,838.80, 346,603.80 and 161,027.60

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Solution

The fourth proportional to 230,838.80, 346,603.80 and 161,027.60 is: 241,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,838.80 : 346,603.80 = 161,027.60 : x
  2. Step 2: Convert to fraction form
    230,838.80/346,603.80 = 161,027.60/x
  3. Step 3: Cross multiply
    230,838.80x = 346,603.80 × 161,027.60
  4. Step 4: Simplify right side
    230,838.80x = 55,812,778,064.88
  5. Step 5: Solve for x
    x = 55,812,778,064.88/230,838.80
  6. Step 6: Final answer
    x = 241,782.48

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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.