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Finding the Fourth Proportional to 311,666.60, 467,203.96 and 101,157.32

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Solution

The fourth proportional to 311,666.60, 467,203.96 and 101,157.32 is: 151,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,666.60 : 467,203.96 = 101,157.32 : x
  2. Step 2: Convert to fraction form
    311,666.60/467,203.96 = 101,157.32/x
  3. Step 3: Cross multiply
    311,666.60x = 467,203.96 × 101,157.32
  4. Step 4: Simplify right side
    311,666.60x = 47,261,100,486.99
  5. Step 5: Solve for x
    x = 47,261,100,486.99/311,666.60
  6. Step 6: Final answer
    x = 151,639.93

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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.