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Finding the Fourth Proportional to 166,205.74, 229,381.98 and 102,541.90

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Solution

The fourth proportional to 166,205.74, 229,381.98 and 102,541.90 is: 141,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,205.74 : 229,381.98 = 102,541.90 : x
  2. Step 2: Convert to fraction form
    166,205.74/229,381.98 = 102,541.90/x
  3. Step 3: Cross multiply
    166,205.74x = 229,381.98 × 102,541.90
  4. Step 4: Simplify right side
    166,205.74x = 23,521,264,054.96
  5. Step 5: Solve for x
    x = 23,521,264,054.96/166,205.74
  6. Step 6: Final answer
    x = 141,518.96

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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.