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Finding the Fourth Proportional to 308,051.10, 461,731.05 and 130,527.90

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Solution

The fourth proportional to 308,051.10, 461,731.05 and 130,527.90 is: 195,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,051.10 : 461,731.05 = 130,527.90 : x
  2. Step 2: Convert to fraction form
    308,051.10/461,731.05 = 130,527.90/x
  3. Step 3: Cross multiply
    308,051.10x = 461,731.05 × 130,527.90
  4. Step 4: Simplify right side
    308,051.10x = 60,268,784,321.30
  5. Step 5: Solve for x
    x = 60,268,784,321.30/308,051.10
  6. Step 6: Final answer
    x = 195,645.41

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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.