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Finding the Fourth Proportional to 262,905.70, 393,840.15 and 157,411.30

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Solution

The fourth proportional to 262,905.70, 393,840.15 and 157,411.30 is: 235,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,905.70 : 393,840.15 = 157,411.30 : x
  2. Step 2: Convert to fraction form
    262,905.70/393,840.15 = 157,411.30/x
  3. Step 3: Cross multiply
    262,905.70x = 393,840.15 × 157,411.30
  4. Step 4: Simplify right side
    262,905.70x = 61,994,890,003.70
  5. Step 5: Solve for x
    x = 61,994,890,003.70/262,905.70
  6. Step 6: Final answer
    x = 235,806.56

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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.