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Finding the Fourth Proportional to 101,909.14, 140,629.92 and 56,590.01

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Solution

The fourth proportional to 101,909.14, 140,629.92 and 56,590.01 is: 78,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,909.14 : 140,629.92 = 56,590.01 : x
  2. Step 2: Convert to fraction form
    101,909.14/140,629.92 = 56,590.01/x
  3. Step 3: Cross multiply
    101,909.14x = 140,629.92 × 56,590.01
  4. Step 4: Simplify right side
    101,909.14x = 7,958,247,875.95
  5. Step 5: Solve for x
    x = 7,958,247,875.95/101,909.14
  6. Step 6: Final answer
    x = 78,091.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.