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Finding the Fourth Proportional to 102,157.20, 153,236.07 and 31,080.51

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Solution

The fourth proportional to 102,157.20, 153,236.07 and 31,080.51 is: 46,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,157.20 : 153,236.07 = 31,080.51 : x
  2. Step 2: Convert to fraction form
    102,157.20/153,236.07 = 31,080.51/x
  3. Step 3: Cross multiply
    102,157.20x = 153,236.07 × 31,080.51
  4. Step 4: Simplify right side
    102,157.20x = 4,762,655,206.00
  5. Step 5: Solve for x
    x = 4,762,655,206.00/102,157.20
  6. Step 6: Final answer
    x = 46,620.85

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