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Finding the Fourth Proportional to 101,147.21, 139,582.46 and 55,825.19

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Solution

The fourth proportional to 101,147.21, 139,582.46 and 55,825.19 is: 77,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,147.21 : 139,582.46 = 55,825.19 : x
  2. Step 2: Convert to fraction form
    101,147.21/139,582.46 = 55,825.19/x
  3. Step 3: Cross multiply
    101,147.21x = 139,582.46 × 55,825.19
  4. Step 4: Simplify right side
    101,147.21x = 7,792,217,838.69
  5. Step 5: Solve for x
    x = 7,792,217,838.69/101,147.21
  6. Step 6: Final answer
    x = 77,038.38

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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.