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Finding the Fourth Proportional to 146,925, 202,756.50 and 79,857

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Solution

The fourth proportional to 146,925, 202,756.50 and 79,857 is: 110,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,925 : 202,756.50 = 79,857 : x
  2. Step 2: Convert to fraction form
    146,925/202,756.50 = 79,857/x
  3. Step 3: Cross multiply
    146,925x = 202,756.50 × 79,857
  4. Step 4: Simplify right side
    146,925x = 16,191,525,820.50
  5. Step 5: Solve for x
    x = 16,191,525,820.50/146,925
  6. Step 6: Final answer
    x = 110,202.66

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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.