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Finding the Fourth Proportional to 146,705.80, 202,440 and 116,564.08

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Solution

The fourth proportional to 146,705.80, 202,440 and 116,564.08 is: 160,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,705.80 : 202,440 = 116,564.08 : x
  2. Step 2: Convert to fraction form
    146,705.80/202,440 = 116,564.08/x
  3. Step 3: Cross multiply
    146,705.80x = 202,440 × 116,564.08
  4. Step 4: Simplify right side
    146,705.80x = 23,597,231,849.10
  5. Step 5: Solve for x
    x = 23,597,231,849.10/146,705.80
  6. Step 6: Final answer
    x = 160,847.30

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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.