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Finding the Fourth Proportional to 432,096, 648,142.08 and 116,584.32

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Solution

The fourth proportional to 432,096, 648,142.08 and 116,584.32 is: 174,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,096 : 648,142.08 = 116,584.32 : x
  2. Step 2: Convert to fraction form
    432,096/648,142.08 = 116,584.32/x
  3. Step 3: Cross multiply
    432,096x = 648,142.08 × 116,584.32
  4. Step 4: Simplify right side
    432,096x = 75,563,203,660.19
  5. Step 5: Solve for x
    x = 75,563,203,660.19/432,096
  6. Step 6: Final answer
    x = 174,875.96

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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.