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Finding the Fourth Proportional to 130,180.40, 195,281.40 and 41,431.40

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Solution

The fourth proportional to 130,180.40, 195,281.40 and 41,431.40 is: 62,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,180.40 : 195,281.40 = 41,431.40 : x
  2. Step 2: Convert to fraction form
    130,180.40/195,281.40 = 41,431.40/x
  3. Step 3: Cross multiply
    130,180.40x = 195,281.40 × 41,431.40
  4. Step 4: Simplify right side
    130,180.40x = 8,090,781,795.96
  5. Step 5: Solve for x
    x = 8,090,781,795.96/130,180.40
  6. Step 6: Final answer
    x = 62,150.54

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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.