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Finding the Fourth Proportional to 295,113.60, 442,087.20 and 161,755.20

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Solution

The fourth proportional to 295,113.60, 442,087.20 and 161,755.20 is: 242,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,113.60 : 442,087.20 = 161,755.20 : x
  2. Step 2: Convert to fraction form
    295,113.60/442,087.20 = 161,755.20/x
  3. Step 3: Cross multiply
    295,113.60x = 442,087.20 × 161,755.20
  4. Step 4: Simplify right side
    295,113.60x = 71,509,903,453.44
  5. Step 5: Solve for x
    x = 71,509,903,453.44/295,113.60
  6. Step 6: Final answer
    x = 242,313.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.