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Finding the Fourth Proportional to 101,014.42, 151,573.56 and 77,473.20

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Solution

The fourth proportional to 101,014.42, 151,573.56 and 77,473.20 is: 116,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,014.42 : 151,573.56 = 77,473.20 : x
  2. Step 2: Convert to fraction form
    101,014.42/151,573.56 = 77,473.20/x
  3. Step 3: Cross multiply
    101,014.42x = 151,573.56 × 77,473.20
  4. Step 4: Simplify right side
    101,014.42x = 11,742,888,728.59
  5. Step 5: Solve for x
    x = 11,742,888,728.59/101,014.42
  6. Step 6: Final answer
    x = 116,249.63

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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.