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Finding the Fourth Proportional to 130,476.20, 195,728.70 and 41,714.60

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Solution

The fourth proportional to 130,476.20, 195,728.70 and 41,714.60 is: 62,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,476.20 : 195,728.70 = 41,714.60 : x
  2. Step 2: Convert to fraction form
    130,476.20/195,728.70 = 41,714.60/x
  3. Step 3: Cross multiply
    130,476.20x = 195,728.70 × 41,714.60
  4. Step 4: Simplify right side
    130,476.20x = 8,164,744,429.02
  5. Step 5: Solve for x
    x = 8,164,744,429.02/130,476.20
  6. Step 6: Final answer
    x = 62,576.50

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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.