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Finding the Fourth Proportional to 230,628.30, 346,201.65 and 178,269.90

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Solution

The fourth proportional to 230,628.30, 346,201.65 and 178,269.90 is: 267,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,628.30 : 346,201.65 = 178,269.90 : x
  2. Step 2: Convert to fraction form
    230,628.30/346,201.65 = 178,269.90/x
  3. Step 3: Cross multiply
    230,628.30x = 346,201.65 × 178,269.90
  4. Step 4: Simplify right side
    230,628.30x = 61,717,333,525.34
  5. Step 5: Solve for x
    x = 61,717,333,525.34/230,628.30
  6. Step 6: Final answer
    x = 267,605.21

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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.