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Finding the Fourth Proportional to 130,222.60, 195,348.48 and 41,454.70

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Solution

The fourth proportional to 130,222.60, 195,348.48 and 41,454.70 is: 62,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,222.60 : 195,348.48 = 41,454.70 : x
  2. Step 2: Convert to fraction form
    130,222.60/195,348.48 = 41,454.70/x
  3. Step 3: Cross multiply
    130,222.60x = 195,348.48 × 41,454.70
  4. Step 4: Simplify right side
    130,222.60x = 8,098,112,633.86
  5. Step 5: Solve for x
    x = 8,098,112,633.86/130,222.60
  6. Step 6: Final answer
    x = 62,186.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.