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Finding the Fourth Proportional to 100,954.76, 151,525.86 and 51,070.04

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Solution

The fourth proportional to 100,954.76, 151,525.86 and 51,070.04 is: 76,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,954.76 : 151,525.86 = 51,070.04 : x
  2. Step 2: Convert to fraction form
    100,954.76/151,525.86 = 51,070.04/x
  3. Step 3: Cross multiply
    100,954.76x = 151,525.86 × 51,070.04
  4. Step 4: Simplify right side
    100,954.76x = 7,738,431,731.23
  5. Step 5: Solve for x
    x = 7,738,431,731.23/100,954.76
  6. Step 6: Final answer
    x = 76,652.47

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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.