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Finding the Fourth Proportional to 101,070.82, 151,409.22 and 61,529.86

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Solution

The fourth proportional to 101,070.82, 151,409.22 and 61,529.86 is: 92,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,070.82 : 151,409.22 = 61,529.86 : x
  2. Step 2: Convert to fraction form
    101,070.82/151,409.22 = 61,529.86/x
  3. Step 3: Cross multiply
    101,070.82x = 151,409.22 × 61,529.86
  4. Step 4: Simplify right side
    101,070.82x = 9,316,188,109.31
  5. Step 5: Solve for x
    x = 9,316,188,109.31/101,070.82
  6. Step 6: Final answer
    x = 92,174.85

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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.