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Finding the Fourth Proportional to 105,222.60, 157,857.22 and 30,336.90

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Solution

The fourth proportional to 105,222.60, 157,857.22 and 30,336.90 is: 45,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,222.60 : 157,857.22 = 30,336.90 : x
  2. Step 2: Convert to fraction form
    105,222.60/157,857.22 = 30,336.90/x
  3. Step 3: Cross multiply
    105,222.60x = 157,857.22 × 30,336.90
  4. Step 4: Simplify right side
    105,222.60x = 4,788,898,502.03
  5. Step 5: Solve for x
    x = 4,788,898,502.03/105,222.60
  6. Step 6: Final answer
    x = 45,512.07

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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.