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Finding the Fourth Proportional to 416,682.37, 625,023.87 and 101,139.58

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Solution

The fourth proportional to 416,682.37, 625,023.87 and 101,139.58 is: 151,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,682.37 : 625,023.87 = 101,139.58 : x
  2. Step 2: Convert to fraction form
    416,682.37/625,023.87 = 101,139.58/x
  3. Step 3: Cross multiply
    416,682.37x = 625,023.87 × 101,139.58
  4. Step 4: Simplify right side
    416,682.37x = 63,214,651,701.77
  5. Step 5: Solve for x
    x = 63,214,651,701.77/416,682.37
  6. Step 6: Final answer
    x = 151,709.45

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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.