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Finding the Fourth Proportional to 230,960.72, 346,622.64 and 118,636.40

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Solution

The fourth proportional to 230,960.72, 346,622.64 and 118,636.40 is: 178,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,960.72 : 346,622.64 = 118,636.40 : x
  2. Step 2: Convert to fraction form
    230,960.72/346,622.64 = 118,636.40/x
  3. Step 3: Cross multiply
    230,960.72x = 346,622.64 × 118,636.40
  4. Step 4: Simplify right side
    230,960.72x = 41,122,062,168.10
  5. Step 5: Solve for x
    x = 41,122,062,168.10/230,960.72
  6. Step 6: Final answer
    x = 178,047.86

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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.