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Finding the Fourth Proportional to 106,938.68, 147,573.52 and 59,190.98

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Solution

The fourth proportional to 106,938.68, 147,573.52 and 59,190.98 is: 81,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,938.68 : 147,573.52 = 59,190.98 : x
  2. Step 2: Convert to fraction form
    106,938.68/147,573.52 = 59,190.98/x
  3. Step 3: Cross multiply
    106,938.68x = 147,573.52 × 59,190.98
  4. Step 4: Simplify right side
    106,938.68x = 8,735,021,270.85
  5. Step 5: Solve for x
    x = 8,735,021,270.85/106,938.68
  6. Step 6: Final answer
    x = 81,682.52

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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.