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Finding the Fourth Proportional to 197,312.70, 295,969.05 and 175,539.90

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Solution

The fourth proportional to 197,312.70, 295,969.05 and 175,539.90 is: 263,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,312.70 : 295,969.05 = 175,539.90 : x
  2. Step 2: Convert to fraction form
    197,312.70/295,969.05 = 175,539.90/x
  3. Step 3: Cross multiply
    197,312.70x = 295,969.05 × 175,539.90
  4. Step 4: Simplify right side
    197,312.70x = 51,954,377,440.10
  5. Step 5: Solve for x
    x = 51,954,377,440.10/197,312.70
  6. Step 6: Final answer
    x = 263,309.85

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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.