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Finding the Fourth Proportional to 230,820.18, 346,280.49 and 73,050

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Solution

The fourth proportional to 230,820.18, 346,280.49 and 73,050 is: 109,590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,820.18 : 346,280.49 = 73,050 : x
  2. Step 2: Convert to fraction form
    230,820.18/346,280.49 = 73,050/x
  3. Step 3: Cross multiply
    230,820.18x = 346,280.49 × 73,050
  4. Step 4: Simplify right side
    230,820.18x = 25,295,789,794.50
  5. Step 5: Solve for x
    x = 25,295,789,794.50/230,820.18
  6. Step 6: Final answer
    x = 109,590.89

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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.