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Finding the Fourth Proportional to 164,052, 226,490.18 and 107,561.79

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Solution

The fourth proportional to 164,052, 226,490.18 and 107,561.79 is: 148,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,052 : 226,490.18 = 107,561.79 : x
  2. Step 2: Convert to fraction form
    164,052/226,490.18 = 107,561.79/x
  3. Step 3: Cross multiply
    164,052x = 226,490.18 × 107,561.79
  4. Step 4: Simplify right side
    164,052x = 24,361,688,640.41
  5. Step 5: Solve for x
    x = 24,361,688,640.41/164,052
  6. Step 6: Final answer
    x = 148,499.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.