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Finding the Fourth Proportional to 152,222.60, 228,348.30 and 41,414.60

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Solution

The fourth proportional to 152,222.60, 228,348.30 and 41,414.60 is: 62,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,222.60 : 228,348.30 = 41,414.60 : x
  2. Step 2: Convert to fraction form
    152,222.60/228,348.30 = 41,414.60/x
  3. Step 3: Cross multiply
    152,222.60x = 228,348.30 × 41,414.60
  4. Step 4: Simplify right side
    152,222.60x = 9,456,953,505.18
  5. Step 5: Solve for x
    x = 9,456,953,505.18/152,222.60
  6. Step 6: Final answer
    x = 62,125.82

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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.